How do you transfer AWS RDS snap shot to a different AWS account

I have an RDS database that I need to transfer a snapshot of to another AWS account. I understand there are issues being able to do this between availability zones so I'm really unsure if this is possible.

The RDS instance is mySql.

If it's not possible to transfer the snapshot please could you explain how to transfer the data from one RDS instance to another without downloading any if the contents(The DB is over 200GB).

Thanks in advance

We've decided that currently the only way to solve the problem is by creating a server in the second account and doing a database dump from mySQL to a mounted volume.

This can then be restored to the new RDS instance in the second account.