Combine water, broth, and kosher salt in a large saucepan and bring to a boil.
Once the liquid is boiling slowly pour in the cornmeal or polenta, whisking continuously.
Turn the heat to a low simmer and cover the pot with a lid. Let the polenta simmer for 20 - 30 minutes, stirring occasionally. The polenta will thicken and become soft and creamy.
When it is ready stir in the butter and goat cheese. Add more salt to taste if needed.