Given two geographic points on earth what is the best way to find a point in the middle given a distance from the starting point?

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The purpose of this question is to use the function to generate a trajectory for plane objects to travel from one city to another in Google Earth using a type of animation. I am coding my program in Java but I can take other forms. I ask for the best way because I'd like for it to be relatively fast and smooth, so accuracy is not of the highest priority.