Finding the Third Proportional to 87,986 and 185,872

Step by Step Solution

1. Step 1: Write the proportion equation
   87,986 : 185,872 = 185,872 : x
2. Step 2: Convert to fraction form
   87,986/185,872 = 185,872/x
3. Step 3: Cross multiply
   87,986x = 185,872 × 185,872
4. Step 4: Simplify right side
   87,986x = 34,548,400,384
5. Step 5: Solve for x
   x = 34,548,400,384/87,986
6. Step 6: Final answer
   x = 392,657.93