Finding the Third Proportional to 80,785.50 and 171,412.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,785.50 : 171,412.50 = 171,412.50 : x
2. Step 2: Convert to fraction form
   80,785.50/171,412.50 = 171,412.50/x
3. Step 3: Cross multiply
   80,785.50x = 171,412.50 × 171,412.50
4. Step 4: Simplify right side
   80,785.50x = 29,382,245,156.25
5. Step 5: Solve for x
   x = 29,382,245,156.25/80,785.50
6. Step 6: Final answer
   x = 363,706.92