Finding the Third Proportional to 204,662 and 419,468

Step by Step Solution

1. Step 1: Write the proportion equation
   204,662 : 419,468 = 419,468 : x
2. Step 2: Convert to fraction form
   204,662/419,468 = 419,468/x
3. Step 3: Cross multiply
   204,662x = 419,468 × 419,468
4. Step 4: Simplify right side
   204,662x = 175,953,403,024
5. Step 5: Solve for x
   x = 175,953,403,024/204,662
6. Step 6: Final answer
   x = 859,726.78