Finding the Third Proportional to 80,440 and 171,564

Step by Step Solution

1. Step 1: Write the proportion equation
   80,440 : 171,564 = 171,564 : x
2. Step 2: Convert to fraction form
   80,440/171,564 = 171,564/x
3. Step 3: Cross multiply
   80,440x = 171,564 × 171,564
4. Step 4: Simplify right side
   80,440x = 29,434,206,096
5. Step 5: Solve for x
   x = 29,434,206,096/80,440
6. Step 6: Final answer
   x = 365,915.04