Finding the Third Proportional to 433,404 and 645,516

Step by Step Solution

1. Step 1: Write the proportion equation
   433,404 : 645,516 = 645,516 : x
2. Step 2: Convert to fraction form
   433,404/645,516 = 645,516/x
3. Step 3: Cross multiply
   433,404x = 645,516 × 645,516
4. Step 4: Simplify right side
   433,404x = 416,690,906,256
5. Step 5: Solve for x
   x = 416,690,906,256/433,404
6. Step 6: Final answer
   x = 961,437.61