Finding the Third Proportional to 115,605 and 172,624.50

Step by Step Solution

1. Step 1: Write the proportion equation
   115,605 : 172,624.50 = 172,624.50 : x
2. Step 2: Convert to fraction form
   115,605/172,624.50 = 172,624.50/x
3. Step 3: Cross multiply
   115,605x = 172,624.50 × 172,624.50
4. Step 4: Simplify right side
   115,605x = 29,799,218,000.25
5. Step 5: Solve for x
   x = 29,799,218,000.25/115,605
6. Step 6: Final answer
   x = 257,767.55