Finding the Third Proportional to 152,696 and 332,495

Step by Step Solution

1. Step 1: Write the proportion equation
   152,696 : 332,495 = 332,495 : x
2. Step 2: Convert to fraction form
   152,696/332,495 = 332,495/x
3. Step 3: Cross multiply
   152,696x = 332,495 × 332,495
4. Step 4: Simplify right side
   152,696x = 110,552,925,025
5. Step 5: Solve for x
   x = 110,552,925,025/152,696
6. Step 6: Final answer
   x = 724,006.69