Finding the Third Proportional to 81,426 and 176,028

Step by Step Solution

1. Step 1: Write the proportion equation
   81,426 : 176,028 = 176,028 : x
2. Step 2: Convert to fraction form
   81,426/176,028 = 176,028/x
3. Step 3: Cross multiply
   81,426x = 176,028 × 176,028
4. Step 4: Simplify right side
   81,426x = 30,985,856,784
5. Step 5: Solve for x
   x = 30,985,856,784/81,426
6. Step 6: Final answer
   x = 380,540.08