Instructions
Ensure that your PS3 is connected to the Internet either wirelessly or via an Ethernet cable.
Turn the PS3 on, and on the main menu (XMB), navigate to "Settings."
Select "System Update" and press the "X" button.
Select "Update via Internet" and press the "X" button.
Select "OK" and press the "X" button once the system has located the proper update for your system to download the necessary firmware files.
Follow the on screen instructions once the update has been downloaded to install the firmware update.