Finding the Third Proportional to 333,998 and 679,662

Step by Step Solution

1. Step 1: Write the proportion equation
   333,998 : 679,662 = 679,662 : x
2. Step 2: Convert to fraction form
   333,998/679,662 = 679,662/x
3. Step 3: Cross multiply
   333,998x = 679,662 × 679,662
4. Step 4: Simplify right side
   333,998x = 461,940,434,244
5. Step 5: Solve for x
   x = 461,940,434,244/333,998
6. Step 6: Final answer
   x = 1,383,063.47