Finding the Third Proportional to 80,748 and 176,884

Step by Step Solution

1. Step 1: Write the proportion equation
   80,748 : 176,884 = 176,884 : x
2. Step 2: Convert to fraction form
   80,748/176,884 = 176,884/x
3. Step 3: Cross multiply
   80,748x = 176,884 × 176,884
4. Step 4: Simplify right side
   80,748x = 31,287,949,456
5. Step 5: Solve for x
   x = 31,287,949,456/80,748
6. Step 6: Final answer
   x = 387,476.46