Finding the Third Proportional to 309,006 and 677,044

Step by Step Solution

1. Step 1: Write the proportion equation
   309,006 : 677,044 = 677,044 : x
2. Step 2: Convert to fraction form
   309,006/677,044 = 677,044/x
3. Step 3: Cross multiply
   309,006x = 677,044 × 677,044
4. Step 4: Simplify right side
   309,006x = 458,388,577,936
5. Step 5: Solve for x
   x = 458,388,577,936/309,006
6. Step 6: Final answer
   x = 1,483,429.38