Finding the Third Proportional to 111,292 and 172,470

Step by Step Solution

1. Step 1: Write the proportion equation
   111,292 : 172,470 = 172,470 : x
2. Step 2: Convert to fraction form
   111,292/172,470 = 172,470/x
3. Step 3: Cross multiply
   111,292x = 172,470 × 172,470
4. Step 4: Simplify right side
   111,292x = 29,745,900,900
5. Step 5: Solve for x
   x = 29,745,900,900/111,292
6. Step 6: Final answer
   x = 267,277.98