Finding the Third Proportional to 111,076 and 172,042

Step by Step Solution

1. Step 1: Write the proportion equation
   111,076 : 172,042 = 172,042 : x
2. Step 2: Convert to fraction form
   111,076/172,042 = 172,042/x
3. Step 3: Cross multiply
   111,076x = 172,042 × 172,042
4. Step 4: Simplify right side
   111,076x = 29,598,449,764
5. Step 5: Solve for x
   x = 29,598,449,764/111,076
6. Step 6: Final answer
   x = 266,470.25