Finding the Third Proportional to 87,676 and 186,287

Step by Step Solution

1. Step 1: Write the proportion equation
   87,676 : 186,287 = 186,287 : x
2. Step 2: Convert to fraction form
   87,676/186,287 = 186,287/x
3. Step 3: Cross multiply
   87,676x = 186,287 × 186,287
4. Step 4: Simplify right side
   87,676x = 34,702,846,369
5. Step 5: Solve for x
   x = 34,702,846,369/87,676
6. Step 6: Final answer
   x = 395,807.82