Finding the Third Proportional to 80,428 and 175,756

Step by Step Solution

1. Step 1: Write the proportion equation
   80,428 : 175,756 = 175,756 : x
2. Step 2: Convert to fraction form
   80,428/175,756 = 175,756/x
3. Step 3: Cross multiply
   80,428x = 175,756 × 175,756
4. Step 4: Simplify right side
   80,428x = 30,890,171,536
5. Step 5: Solve for x
   x = 30,890,171,536/80,428
6. Step 6: Final answer
   x = 384,072.36