Finding the Third Proportional to 80,800 and 173,506

Step by Step Solution

1. Step 1: Write the proportion equation
   80,800 : 173,506 = 173,506 : x
2. Step 2: Convert to fraction form
   80,800/173,506 = 173,506/x
3. Step 3: Cross multiply
   80,800x = 173,506 × 173,506
4. Step 4: Simplify right side
   80,800x = 30,104,332,036
5. Step 5: Solve for x
   x = 30,104,332,036/80,800
6. Step 6: Final answer
   x = 372,578.37