Finding the Third Proportional to 111,380.25 and 172,618.50

Step by Step Solution

1. Step 1: Write the proportion equation
   111,380.25 : 172,618.50 = 172,618.50 : x
2. Step 2: Convert to fraction form
   111,380.25/172,618.50 = 172,618.50/x
3. Step 3: Cross multiply
   111,380.25x = 172,618.50 × 172,618.50
4. Step 4: Simplify right side
   111,380.25x = 29,797,146,542.25
5. Step 5: Solve for x
   x = 29,797,146,542.25/111,380.25
6. Step 6: Final answer
   x = 267,526.30