Finding the Third Proportional to 80,515.50 and 174,868.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,515.50 : 174,868.50 = 174,868.50 : x
2. Step 2: Convert to fraction form
   80,515.50/174,868.50 = 174,868.50/x
3. Step 3: Cross multiply
   80,515.50x = 174,868.50 × 174,868.50
4. Step 4: Simplify right side
   80,515.50x = 30,578,992,292.25
5. Step 5: Solve for x
   x = 30,578,992,292.25/80,515.50
6. Step 6: Final answer
   x = 379,790.13