Finding the Third Proportional to 406,098 and 595,294.50

Step by Step Solution

1. Step 1: Write the proportion equation
   406,098 : 595,294.50 = 595,294.50 : x
2. Step 2: Convert to fraction form
   406,098/595,294.50 = 595,294.50/x
3. Step 3: Cross multiply
   406,098x = 595,294.50 × 595,294.50
4. Step 4: Simplify right side
   406,098x = 354,375,541,730.25
5. Step 5: Solve for x
   x = 354,375,541,730.25/406,098
6. Step 6: Final answer
   x = 872,635.53