You can publish content in batch.

Note: Only for content that are 'unpublished'

The steps are

With below interface

Pick relevant content

1. From content list, filter 'Approved status' ('Approved' in this example)

2. Check relevant content on left hand side

Set status to 'Published'

3. Choose 'Update Publishing Status'

4. Choose 'Published'

The batch job will be set in action.

In case there is any error, you will be prompted.