Finding the Third Proportional to 309,462 and 659,388

Step by Step Solution

1. Step 1: Write the proportion equation
   309,462 : 659,388 = 659,388 : x
2. Step 2: Convert to fraction form
   309,462/659,388 = 659,388/x
3. Step 3: Cross multiply
   309,462x = 659,388 × 659,388
4. Step 4: Simplify right side
   309,462x = 434,792,534,544
5. Step 5: Solve for x
   x = 434,792,534,544/309,462
6. Step 6: Final answer
   x = 1,404,994.91