Finding the Third Proportional to 80,676 and 177,274.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,676 : 177,274.50 = 177,274.50 : x
2. Step 2: Convert to fraction form
   80,676/177,274.50 = 177,274.50/x
3. Step 3: Cross multiply
   80,676x = 177,274.50 × 177,274.50
4. Step 4: Simplify right side
   80,676x = 31,426,248,350.25
5. Step 5: Solve for x
   x = 31,426,248,350.25/80,676
6. Step 6: Final answer
   x = 389,536.52