Finding the Third Proportional to 80,150 and 171,418

Step by Step Solution

1. Step 1: Write the proportion equation
   80,150 : 171,418 = 171,418 : x
2. Step 2: Convert to fraction form
   80,150/171,418 = 171,418/x
3. Step 3: Cross multiply
   80,150x = 171,418 × 171,418
4. Step 4: Simplify right side
   80,150x = 29,384,130,724
5. Step 5: Solve for x
   x = 29,384,130,724/80,150
6. Step 6: Final answer
   x = 366,614.23