Finding the Third Proportional to 80,149.50 and 171,414

Step by Step Solution

1. Step 1: Write the proportion equation
   80,149.50 : 171,414 = 171,414 : x
2. Step 2: Convert to fraction form
   80,149.50/171,414 = 171,414/x
3. Step 3: Cross multiply
   80,149.50x = 171,414 × 171,414
4. Step 4: Simplify right side
   80,149.50x = 29,382,759,396
5. Step 5: Solve for x
   x = 29,382,759,396/80,149.50
6. Step 6: Final answer
   x = 366,599.41