Finding the Third Proportional to 309,554 and 677,434

Step by Step Solution

1. Step 1: Write the proportion equation
   309,554 : 677,434 = 677,434 : x
2. Step 2: Convert to fraction form
   309,554/677,434 = 677,434/x
3. Step 3: Cross multiply
   309,554x = 677,434 × 677,434
4. Step 4: Simplify right side
   309,554x = 458,916,824,356
5. Step 5: Solve for x
   x = 458,916,824,356/309,554
6. Step 6: Final answer
   x = 1,482,509.75