Finding the Third Proportional to 309,802 and 677,924

Step by Step Solution

1. Step 1: Write the proportion equation
   309,802 : 677,924 = 677,924 : x
2. Step 2: Convert to fraction form
   309,802/677,924 = 677,924/x
3. Step 3: Cross multiply
   309,802x = 677,924 × 677,924
4. Step 4: Simplify right side
   309,802x = 459,580,949,776
5. Step 5: Solve for x
   x = 459,580,949,776/309,802
6. Step 6: Final answer
   x = 1,483,466.70