The listing, Galaxy S3 Root instructions Best on here hands down! NO PC NEEDED! has ended.
THIS IS FOR INSTRUCTIONS ONLY! By far the easiest you will find on Listia... NO PC NEEDED! Only thing needed is that the phone must have an internet connection
I will email you or message you the instructions and the newest file to root your Galaxy S3.
Rooting means gaining root access to your device. When you take your phone out of the box, while there are plenty of settings you can tweak, you can only alter what the manufacturer allows you to. By gaining root access you can modify the device's software on the very deepest level. It takes a bit of hacking (some devices more than others), it voids your warranty, and there's a small chance that you could completely break your phone forever. But you know what? It's still totally worth it for all the goodies you get access to.
IM NOT RESPONSIBLE FOR ANY DAMAGES!