Finding the Third Proportional to 337,909.50 and 472,419

Step by Step Solution

1. Step 1: Write the proportion equation
   337,909.50 : 472,419 = 472,419 : x
2. Step 2: Convert to fraction form
   337,909.50/472,419 = 472,419/x
3. Step 3: Cross multiply
   337,909.50x = 472,419 × 472,419
4. Step 4: Simplify right side
   337,909.50x = 223,179,711,561
5. Step 5: Solve for x
   x = 223,179,711,561/337,909.50
6. Step 6: Final answer
   x = 660,471.85