Finding the Third Proportional to 309,560 and 677,446

Step by Step Solution

1. Step 1: Write the proportion equation
   309,560 : 677,446 = 677,446 : x
2. Step 2: Convert to fraction form
   309,560/677,446 = 677,446/x
3. Step 3: Cross multiply
   309,560x = 677,446 × 677,446
4. Step 4: Simplify right side
   309,560x = 458,933,082,916
5. Step 5: Solve for x
   x = 458,933,082,916/309,560
6. Step 6: Final answer
   x = 1,482,533.54