Finding the Third Proportional to 96,002.50 and 209,474

Step by Step Solution

1. Step 1: Write the proportion equation
   96,002.50 : 209,474 = 209,474 : x
2. Step 2: Convert to fraction form
   96,002.50/209,474 = 209,474/x
3. Step 3: Cross multiply
   96,002.50x = 209,474 × 209,474
4. Step 4: Simplify right side
   96,002.50x = 43,879,356,676
5. Step 5: Solve for x
   x = 43,879,356,676/96,002.50
6. Step 6: Final answer
   x = 457,064.73