Finding the Third Proportional to 140,156 and 315,398

Step by Step Solution

1. Step 1: Write the proportion equation
   140,156 : 315,398 = 315,398 : x
2. Step 2: Convert to fraction form
   140,156/315,398 = 315,398/x
3. Step 3: Cross multiply
   140,156x = 315,398 × 315,398
4. Step 4: Simplify right side
   140,156x = 99,475,898,404
5. Step 5: Solve for x
   x = 99,475,898,404/140,156
6. Step 6: Final answer
   x = 709,751.27