Finding the Third Proportional to 204,499 and 418,914

Step by Step Solution

1. Step 1: Write the proportion equation
   204,499 : 418,914 = 418,914 : x
2. Step 2: Convert to fraction form
   204,499/418,914 = 418,914/x
3. Step 3: Cross multiply
   204,499x = 418,914 × 418,914
4. Step 4: Simplify right side
   204,499x = 175,488,939,396
5. Step 5: Solve for x
   x = 175,488,939,396/204,499
6. Step 6: Final answer
   x = 858,140.82