Finding the Third Proportional to 123,096 and 176,016

Step by Step Solution

1. Step 1: Write the proportion equation
   123,096 : 176,016 = 176,016 : x
2. Step 2: Convert to fraction form
   123,096/176,016 = 176,016/x
3. Step 3: Cross multiply
   123,096x = 176,016 × 176,016
4. Step 4: Simplify right side
   123,096x = 30,981,632,256
5. Step 5: Solve for x
   x = 30,981,632,256/123,096
6. Step 6: Final answer
   x = 251,686.75