Finding the Third Proportional to 472,664 and 709,342.50

Step by Step Solution

1. Step 1: Write the proportion equation
   472,664 : 709,342.50 = 709,342.50 : x
2. Step 2: Convert to fraction form
   472,664/709,342.50 = 709,342.50/x
3. Step 3: Cross multiply
   472,664x = 709,342.50 × 709,342.50
4. Step 4: Simplify right side
   472,664x = 503,166,782,306.25
5. Step 5: Solve for x
   x = 503,166,782,306.25/472,664
6. Step 6: Final answer
   x = 1,064,533.75