Finding the Third Proportional to 89,194.50 and 185,766.75

Step by Step Solution

1. Step 1: Write the proportion equation
   89,194.50 : 185,766.75 = 185,766.75 : x
2. Step 2: Convert to fraction form
   89,194.50/185,766.75 = 185,766.75/x
3. Step 3: Cross multiply
   89,194.50x = 185,766.75 × 185,766.75
4. Step 4: Simplify right side
   89,194.50x = 34,509,285,405.56
5. Step 5: Solve for x
   x = 34,509,285,405.56/89,194.50
6. Step 6: Final answer
   x = 386,899.25