Finding the Third Proportional to 80,456 and 176,464

Step by Step Solution

1. Step 1: Write the proportion equation
   80,456 : 176,464 = 176,464 : x
2. Step 2: Convert to fraction form
   80,456/176,464 = 176,464/x
3. Step 3: Cross multiply
   80,456x = 176,464 × 176,464
4. Step 4: Simplify right side
   80,456x = 31,139,543,296
5. Step 5: Solve for x
   x = 31,139,543,296/80,456
6. Step 6: Final answer
   x = 387,038.17