...as far as my system specs go, they are as follows:
M/B-Gigabyte Z77-D3H f18 bios
cpu-2500k
video- EVGA GTX 560 non ti
onboard sound- i believe its V2101
lan- Tp link wireless 4800 card
8gigs ram
1 terb storage
OK. First, your motherboard BIOS version number must be a typo as the Z77-D3H highest BIOS version is F9 (F10f is a beta version and not stable). Additionally, your on-board audio is a Realtek ALC887 codec, not the VIA 2101. Oops!
Me culpa. I was thinking of a Z77-DS3H instead of the D3H. Old age eyes...
Second, you have a Sandy Bridge processor (i5-2500K) while you have an Ivy Bridge 7-Series motherboard. This makes your installation a little tougher to accomplish. Even though you have a graphics card, this is a good reference for you:
http://www.tonymacx86.com/150-enabl...therboards-hd-4000-6-series-motherboards.html More on this below.
Third, your 1TB HDD is OK (maybe) as you can't install OS X on >1TB HDD or partition. Now for the maybe, check to see if you drive has 512MB or 4K sectors (look at mfgr's spec's). If you have a drive with 512MB sectors, you're OK. If you have the 4K sector drive, you'll see boot0 errors so you'll need to use this guide to overcome the errors:
http://www.tonymacx86.com/25-boot0-error-official-guide.html
Fourth, I'd try to install using the on-board graphics first - you can the 560 Ti after you get the on-board HD3000 running Mountain Lion. This method gets you up and running faster and get you out of the doghouse. The graphics card isn't hard, it's just another variable in the mix.
Finally, your motherboard is a tonymacx86 recommended so installation should be easy. Follow the UniBeast Installation Guide including the section on using MultiBeast, and I recommend using my Thunderball build description setup BIOS variables and MultiBeast settings to get your system stable running HD3000. (Don't be deterred that my build description is for anther Gigabyte motherboard and an Ivy Bridge processor. I have a Z77-DS3H / i5-3570K system, and I followed the same setup and installation procedure.) Then, you can install your graphics card and rerun MultiBeast only using the appropriate graphics "stuff". (You may want to see help for installing the 560 Ti in the Graphics forum section or looking at Golden Builds or User Builds descriptions that have a 560 Ti graphics card.
One last tip, use the MultiBeast "UserDSDT or DSDT-Free Installation" option which gives the right defaults including Chimera. I recommend Chimera over Chameleon because Chimera is more robust.
Good Luck. Hope this gets you up & running quickly.