The following code is day-to-day operations when working with 3 forks: an open source project, a local fork of that project, and a company fork of that project. The power of Git is remote aliases that allow you to work with all 3 forks in parallel in the same code base and instantly compare, push, merge, etc.
Setup:
#> git clone [url of local fork: ie: username/project]
#> cd project
#> git remote add project [url of project: ie: project/project]
#> git remote add company [url of company fork: ie: company/project]