Finding the Third Proportional to 512,788 and 685,662

Step by Step Solution

1. Step 1: Write the proportion equation
   512,788 : 685,662 = 685,662 : x
2. Step 2: Convert to fraction form
   512,788/685,662 = 685,662/x
3. Step 3: Cross multiply
   512,788x = 685,662 × 685,662
4. Step 4: Simplify right side
   512,788x = 470,132,378,244
5. Step 5: Solve for x
   x = 470,132,378,244/512,788
6. Step 6: Final answer
   x = 916,816.26