Finding the Third Proportional to 309,826 and 677,966

Step by Step Solution

1. Step 1: Write the proportion equation
   309,826 : 677,966 = 677,966 : x
2. Step 2: Convert to fraction form
   309,826/677,966 = 677,966/x
3. Step 3: Cross multiply
   309,826x = 677,966 × 677,966
4. Step 4: Simplify right side
   309,826x = 459,637,897,156
5. Step 5: Solve for x
   x = 459,637,897,156/309,826
6. Step 6: Final answer
   x = 1,483,535.59