Finding the Third Proportional to 111,214.27 and 172,351.55

Step by Step Solution

1. Step 1: Write the proportion equation
   111,214.27 : 172,351.55 = 172,351.55 : x
2. Step 2: Convert to fraction form
   111,214.27/172,351.55 = 172,351.55/x
3. Step 3: Cross multiply
   111,214.27x = 172,351.55 × 172,351.55
4. Step 4: Simplify right side
   111,214.27x = 29,705,055,710.21
5. Step 5: Solve for x
   x = 29,705,055,710.21/111,214.27
6. Step 6: Final answer
   x = 267,097.53