Finding the Third Proportional to 80,736 and 176,004

Step by Step Solution

1. Step 1: Write the proportion equation
   80,736 : 176,004 = 176,004 : x
2. Step 2: Convert to fraction form
   80,736/176,004 = 176,004/x
3. Step 3: Cross multiply
   80,736x = 176,004 × 176,004
4. Step 4: Simplify right side
   80,736x = 30,977,408,016
5. Step 5: Solve for x
   x = 30,977,408,016/80,736
6. Step 6: Final answer
   x = 383,687.67