Finding the Third Proportional to 152,971.50 and 331,363.50

Step by Step Solution

1. Step 1: Write the proportion equation
   152,971.50 : 331,363.50 = 331,363.50 : x
2. Step 2: Convert to fraction form
   152,971.50/331,363.50 = 331,363.50/x
3. Step 3: Cross multiply
   152,971.50x = 331,363.50 × 331,363.50
4. Step 4: Simplify right side
   152,971.50x = 109,801,769,132.25
5. Step 5: Solve for x
   x = 109,801,769,132.25/152,971.50
6. Step 6: Final answer
   x = 717,792.33