Finding the Third Proportional to 111,390 and 172,746

Step by Step Solution

1. Step 1: Write the proportion equation
   111,390 : 172,746 = 172,746 : x
2. Step 2: Convert to fraction form
   111,390/172,746 = 172,746/x
3. Step 3: Cross multiply
   111,390x = 172,746 × 172,746
4. Step 4: Simplify right side
   111,390x = 29,841,180,516
5. Step 5: Solve for x
   x = 29,841,180,516/111,390
6. Step 6: Final answer
   x = 267,898.20