Finding the Third Proportional to 111,051 and 176,418

Step by Step Solution

1. Step 1: Write the proportion equation
   111,051 : 176,418 = 176,418 : x
2. Step 2: Convert to fraction form
   111,051/176,418 = 176,418/x
3. Step 3: Cross multiply
   111,051x = 176,418 × 176,418
4. Step 4: Simplify right side
   111,051x = 31,123,310,724
5. Step 5: Solve for x
   x = 31,123,310,724/111,051
6. Step 6: Final answer
   x = 280,261.42