Rooting your device takes few simple steps
1-S3 Drivers Download Check the forum to download
2-Download CF-AUTOROOT S3
International GT-I9300 ONLY
Other Other variants Pick from list
3-Download ODIN 1.85
4-install the drivers
5-Go to download mode
-turn off phone
-hold volume down and power
-release when you see Samsung logo
-Hit volume up
6-Connect your phone to your computer via cable
7-Flash CF-AUTOROOT S3
-Lunch odin
-if you see COM(Number) then the drivers are working fine
-extract the CF-AUTOROOT S3
-You will see a file with .MD5 Extension
-Click on PDA in odin
-Select the .MD5 File you extracted
-Click Start in odin
8-Wait and your phone will be rooted !
Made by Ananjaser1211
Check the video for installing cyanogenmod 11 on Any S3 edition
Video Link