Finding the Third Proportional to 150,147 and 329,824.50

Step by Step Solution

1. Step 1: Write the proportion equation
   150,147 : 329,824.50 = 329,824.50 : x
2. Step 2: Convert to fraction form
   150,147/329,824.50 = 329,824.50/x
3. Step 3: Cross multiply
   150,147x = 329,824.50 × 329,824.50
4. Step 4: Simplify right side
   150,147x = 108,784,200,800.25
5. Step 5: Solve for x
   x = 108,784,200,800.25/150,147
6. Step 6: Final answer
   x = 724,517.98