Finding the Third Proportional to 111,216.38 and 172,354.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,216.38 : 172,354.50 = 172,354.50 : x
2. Step 2: Convert to fraction form
   111,216.38/172,354.50 = 172,354.50/x
3. Step 3: Cross multiply
   111,216.38x = 172,354.50 × 172,354.50
4. Step 4: Simplify right side
   111,216.38x = 29,706,073,670.25
5. Step 5: Solve for x
   x = 29,706,073,670.25/111,216.38
6. Step 6: Final answer
   x = 267,101.62