Finding the Third Proportional to 152,558 and 315,724

Step by Step Solution

1. Step 1: Write the proportion equation
   152,558 : 315,724 = 315,724 : x
2. Step 2: Convert to fraction form
   152,558/315,724 = 315,724/x
3. Step 3: Cross multiply
   152,558x = 315,724 × 315,724
4. Step 4: Simplify right side
   152,558x = 99,681,644,176
5. Step 5: Solve for x
   x = 99,681,644,176/152,558
6. Step 6: Final answer
   x = 653,401.62