Finding the Third Proportional to 111,132 and 172,338

Step by Step Solution

1. Step 1: Write the proportion equation
   111,132 : 172,338 = 172,338 : x
2. Step 2: Convert to fraction form
   111,132/172,338 = 172,338/x
3. Step 3: Cross multiply
   111,132x = 172,338 × 172,338
4. Step 4: Simplify right side
   111,132x = 29,700,386,244
5. Step 5: Solve for x
   x = 29,700,386,244/111,132
6. Step 6: Final answer
   x = 267,253.23