Finding the Third Proportional to 89,200 and 185,782

Step by Step Solution

1. Step 1: Write the proportion equation
   89,200 : 185,782 = 185,782 : x
2. Step 2: Convert to fraction form
   89,200/185,782 = 185,782/x
3. Step 3: Cross multiply
   89,200x = 185,782 × 185,782
4. Step 4: Simplify right side
   89,200x = 34,514,951,524
5. Step 5: Solve for x
   x = 34,514,951,524/89,200
6. Step 6: Final answer
   x = 386,938.92