Finding the Third Proportional to 86,801 and 176,016

Step by Step Solution

1. Step 1: Write the proportion equation
   86,801 : 176,016 = 176,016 : x
2. Step 2: Convert to fraction form
   86,801/176,016 = 176,016/x
3. Step 3: Cross multiply
   86,801x = 176,016 × 176,016
4. Step 4: Simplify right side
   86,801x = 30,981,632,256
5. Step 5: Solve for x
   x = 30,981,632,256/86,801
6. Step 6: Final answer
   x = 356,927.14