Here is a list of must-do things before your focus on installing the official update on the Samsung Galaxy S3:  

Ensure that your handset is part of the international version. Open settings-About-Model No. to make sure it is GF-I9300. The handset must be charged up to atleast 80 per cent before you initiate the update. Once this is checked, begin to back up all data via ClockWorkMod.

 The Samsung Galaxy S3 came to us mortals in 2012 beefed up with Android 4.0.4 Ice Cream Sandwich. Finally, it can get to feed on the Android 4.3 Jelly Bean update. This is available from the KIES server.  

Upgrade Samsung Galaxy S3 to Android 4 3 Jelly Bean Update  GT I9300 Receives New Firmware International Version  Available Via KIES Server - 19Upgrade Samsung Galaxy S3 to Android 4 3 Jelly Bean Update  GT I9300 Receives New Firmware International Version  Available Via KIES Server - 33Upgrade Samsung Galaxy S3 to Android 4 3 Jelly Bean Update  GT I9300 Receives New Firmware International Version  Available Via KIES Server - 80Upgrade Samsung Galaxy S3 to Android 4 3 Jelly Bean Update  GT I9300 Receives New Firmware International Version  Available Via KIES Server - 99Upgrade Samsung Galaxy S3 to Android 4 3 Jelly Bean Update  GT I9300 Receives New Firmware International Version  Available Via KIES Server - 62