Final answer:
The most performant solution involves using AWS DataSync for fast initial migration of data to Amazon S3 and then using File Gateway for consistent ongoing access and updates to the migrated data from on-premises applications.
Step-by-step explanation:
A media company seeking to migrate hundreds of terabytes of files from an on-premises data center to Amazon S3 and establish ongoing access for updates must consider both initial migration speed and subsequent access mechanisms. The most performant solution for this use-case is to use AWS DataSync for the initial migration, due to its high transfer speeds and automated data transfer capabilities. Following the migration, setting up a File Gateway through AWS Storage Gateway allows on-premises applications to smoothly access and update the migrated data on Amazon S3, providing a seamless hybrid storage environment.