Problems using a subdomain on other hosting…

This is the situation…

I’m installing WordPress for a client. But the WordPress installation is in a GoDaddy hosting package and we want to use a subdomain that is in other hosting outside from GoDaddy.

We want that people looking for out site use the subdomain we want. But we also want that the desired subdomain be the one that appears on the address bar.

In other words: The WordPress installation is in GoDaddy: https://www.carcreditmanagement.com/alternomedia/blog/

And we want to use the subdomain that is hosted in other hosting server outside from GoDaddy: blog.planetaauto.com

How can we do that?

Thanks a lot…