Depending on how you are making a hyperlink, this can be done in two general ways:
If you are writing HTML, then you know the syntax for making a hyperlink:
[text]
This will display [text] and if you click on it, it will take you to the site you entered under [address]. [text] can here be replaced with any text whatsoever, as long as it doesn't mess up your HTML code. So, it can also say fungames.com. [address] can be an address of any site, including both arcadepod.com and fungames.com. The site you wish to link to has nothing to do with the text you display.
If you are using something like FrontPage or other software that helps you design a web site, then when you are editing a hyperlink simply type the address of the site you wish to link to in the box marked "URL", "Address" or such, and the text you want displayed into the box marked "Text".
There are other ways you may be making a hyperlink. Since you didn't specify, I can perhaps mention that web forums often use UBB code. They usually come with instructions, but the most common way to make a hyperlink:
[url=[address]][text][/url]
Here [address] and [text] have the same meaning as in HTML.