Finding the Third Proportional to 97,834.50 and 152,523

Step by Step Solution

1. Step 1: Write the proportion equation
   97,834.50 : 152,523 = 152,523 : x
2. Step 2: Convert to fraction form
   97,834.50/152,523 = 152,523/x
3. Step 3: Cross multiply
   97,834.50x = 152,523 × 152,523
4. Step 4: Simplify right side
   97,834.50x = 23,263,265,529
5. Step 5: Solve for x
   x = 23,263,265,529/97,834.50
6. Step 6: Final answer
   x = 237,781.82