Outlook: How can you automatically sync appointments from my Outlook calendar to a public Outlook calendar?

Solution 1:

Here are the methods that Microsoft lists as means to synchronize Outlook 2007 and Google Calendar. The only automatic means I have been able to find to sync Google Calendar with Outlook is by using Google Calendar Sync (a 3rd party tool), which is shown in the link.
Other than maybe Microsoft's Live mail I doubt that there would be any other Public Calendar options which would have a means to sync with Outlook without some sort of 3rd party app being installed on your computer.