Finding the Third Proportional to 87,429 and 205,288

Step by Step Solution

1. Step 1: Write the proportion equation
   87,429 : 205,288 = 205,288 : x
2. Step 2: Convert to fraction form
   87,429/205,288 = 205,288/x
3. Step 3: Cross multiply
   87,429x = 205,288 × 205,288
4. Step 4: Simplify right side
   87,429x = 42,143,162,944
5. Step 5: Solve for x
   x = 42,143,162,944/87,429
6. Step 6: Final answer
   x = 482,027.28