Finding the Third Proportional to 152,838 and 332,545.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,838 : 332,545.50 = 332,545.50 : x
2. Step 2: Convert to fraction form
   152,838/332,545.50 = 332,545.50/x
3. Step 3: Cross multiply
   152,838x = 332,545.50 × 332,545.50
4. Step 4: Simplify right side
   152,838x = 110,586,509,570.25
5. Step 5: Solve for x
   x = 110,586,509,570.25/152,838
6. Step 6: Final answer
   x = 723,553.76