Finding the Third Proportional to 80,876 and 176,428

Step by Step Solution

1. Step 1: Write the proportion equation
   80,876 : 176,428 = 176,428 : x
2. Step 2: Convert to fraction form
   80,876/176,428 = 176,428/x
3. Step 3: Cross multiply
   80,876x = 176,428 × 176,428
4. Step 4: Simplify right side
   80,876x = 31,126,839,184
5. Step 5: Solve for x
   x = 31,126,839,184/80,876
6. Step 6: Final answer
   x = 384,871.15