Finding the Third Proportional to 150,147 and 329,825

Step by Step Solution

1. Step 1: Write the proportion equation
   150,147 : 329,825 = 329,825 : x
2. Step 2: Convert to fraction form
   150,147/329,825 = 329,825/x
3. Step 3: Cross multiply
   150,147x = 329,825 × 329,825
4. Step 4: Simplify right side
   150,147x = 108,784,530,625
5. Step 5: Solve for x
   x = 108,784,530,625/150,147
6. Step 6: Final answer
   x = 724,520.17