Finding the Third Proportional to 87,426 and 205,281

Step by Step Solution

1. Step 1: Write the proportion equation
   87,426 : 205,281 = 205,281 : x
2. Step 2: Convert to fraction form
   87,426/205,281 = 205,281/x
3. Step 3: Cross multiply
   87,426x = 205,281 × 205,281
4. Step 4: Simplify right side
   87,426x = 42,140,288,961
5. Step 5: Solve for x
   x = 42,140,288,961/87,426
6. Step 6: Final answer
   x = 482,010.95