Finding the Third Proportional to 87,978 and 205,320

Step by Step Solution

1. Step 1: Write the proportion equation
   87,978 : 205,320 = 205,320 : x
2. Step 2: Convert to fraction form
   87,978/205,320 = 205,320/x
3. Step 3: Cross multiply
   87,978x = 205,320 × 205,320
4. Step 4: Simplify right side
   87,978x = 42,156,302,400
5. Step 5: Solve for x
   x = 42,156,302,400/87,978
6. Step 6: Final answer
   x = 479,168.68