Finding the Third Proportional to 80,238 and 176,028

Step by Step Solution

1. Step 1: Write the proportion equation
   80,238 : 176,028 = 176,028 : x
2. Step 2: Convert to fraction form
   80,238/176,028 = 176,028/x
3. Step 3: Cross multiply
   80,238x = 176,028 × 176,028
4. Step 4: Simplify right side
   80,238x = 30,985,856,784
5. Step 5: Solve for x
   x = 30,985,856,784/80,238
6. Step 6: Final answer
   x = 386,174.34