Finding the Third Proportional to 89,171.38 and 185,708.75

Step by Step Solution

1. Step 1: Write the proportion equation
   89,171.38 : 185,708.75 = 185,708.75 : x
2. Step 2: Convert to fraction form
   89,171.38/185,708.75 = 185,708.75/x
3. Step 3: Cross multiply
   89,171.38x = 185,708.75 × 185,708.75
4. Step 4: Simplify right side
   89,171.38x = 34,487,739,826.56
5. Step 5: Solve for x
   x = 34,487,739,826.56/89,171.38
6. Step 6: Final answer
   x = 386,757.97