Finding the Third Proportional to 111,461 and 172,781

Step by Step Solution

1. Step 1: Write the proportion equation
   111,461 : 172,781 = 172,781 : x
2. Step 2: Convert to fraction form
   111,461/172,781 = 172,781/x
3. Step 3: Cross multiply
   111,461x = 172,781 × 172,781
4. Step 4: Simplify right side
   111,461x = 29,853,273,961
5. Step 5: Solve for x
   x = 29,853,273,961/111,461
6. Step 6: Final answer
   x = 267,836.05