Finding the Third Proportional to 119,936 and 176,016

Step by Step Solution

1. Step 1: Write the proportion equation
   119,936 : 176,016 = 176,016 : x
2. Step 2: Convert to fraction form
   119,936/176,016 = 176,016/x
3. Step 3: Cross multiply
   119,936x = 176,016 × 176,016
4. Step 4: Simplify right side
   119,936x = 30,981,632,256
5. Step 5: Solve for x
   x = 30,981,632,256/119,936
6. Step 6: Final answer
   x = 258,318.04