Finding the Third Proportional to 111,417 and 172,674

Step by Step Solution

1. Step 1: Write the proportion equation
   111,417 : 172,674 = 172,674 : x
2. Step 2: Convert to fraction form
   111,417/172,674 = 172,674/x
3. Step 3: Cross multiply
   111,417x = 172,674 × 172,674
4. Step 4: Simplify right side
   111,417x = 29,816,310,276
5. Step 5: Solve for x
   x = 29,816,310,276/111,417
6. Step 6: Final answer
   x = 267,610.06