Finding the Third Proportional to 89,149.50 and 185,771.25

Step by Step Solution

1. Step 1: Write the proportion equation
   89,149.50 : 185,771.25 = 185,771.25 : x
2. Step 2: Convert to fraction form
   89,149.50/185,771.25 = 185,771.25/x
3. Step 3: Cross multiply
   89,149.50x = 185,771.25 × 185,771.25
4. Step 4: Simplify right side
   89,149.50x = 34,510,957,326.56
5. Step 5: Solve for x
   x = 34,510,957,326.56/89,149.50
6. Step 6: Final answer
   x = 387,113.30