MySQL - replicate some tables between transaction and report database
You can replicate Transaction to Reporting without any issues are it's "independent" but Reporting to Transactional may cause issues depending on your foreign-key settings.

You can easily replicate single table with the help of replication filters (in your case replicate-do-table or replicate-wild-do-table).

There are plenty of blogs for replication setup instructions, say this one from Percona.