Finding the Third Proportional to 111,392 and 172,496

Step by Step Solution

1. Step 1: Write the proportion equation
   111,392 : 172,496 = 172,496 : x
2. Step 2: Convert to fraction form
   111,392/172,496 = 172,496/x
3. Step 3: Cross multiply
   111,392x = 172,496 × 172,496
4. Step 4: Simplify right side
   111,392x = 29,754,870,016
5. Step 5: Solve for x
   x = 29,754,870,016/111,392
6. Step 6: Final answer
   x = 267,118.55