Use the following configuration settings for connecting to your database:

Host name = (use the server IP address)
Database name = (cpanelUsername_databaseName)
Database username = (cpanelUsername_databaseUsername)
Database password = (the password you entered for that database user)
MySQL Connection Port = 3306

please make sure that you have enabled remote mysql
By default, all IPs are blocked and must be added to an access list in order to access the server. So, before connecting to MySQL from another computer, the connecting computer must be enabled as an Access Host.
When Using cPanel X3 Theme

Log into cPanel.
Under Databases, click the Remote MySQL icon.
In the Host field, type in the connecting IP address.
Click Add Host.
You should be able to connect remotely to your database.