Finding the Third Proportional to 80,456 and 171,596

Step by Step Solution

1. Step 1: Write the proportion equation
   80,456 : 171,596 = 171,596 : x
2. Step 2: Convert to fraction form
   80,456/171,596 = 171,596/x
3. Step 3: Cross multiply
   80,456x = 171,596 × 171,596
4. Step 4: Simplify right side
   80,456x = 29,445,187,216
5. Step 5: Solve for x
   x = 29,445,187,216/80,456
6. Step 6: Final answer
   x = 365,978.76