Finding the Third Proportional to 111,206 and 172,452

Step by Step Solution

1. Step 1: Write the proportion equation
   111,206 : 172,452 = 172,452 : x
2. Step 2: Convert to fraction form
   111,206/172,452 = 172,452/x
3. Step 3: Cross multiply
   111,206x = 172,452 × 172,452
4. Step 4: Simplify right side
   111,206x = 29,739,692,304
5. Step 5: Solve for x
   x = 29,739,692,304/111,206
6. Step 6: Final answer
   x = 267,428.85