Finding the Third Proportional to 309,789 and 677,898

Step by Step Solution

1. Step 1: Write the proportion equation
   309,789 : 677,898 = 677,898 : x
2. Step 2: Convert to fraction form
   309,789/677,898 = 677,898/x
3. Step 3: Cross multiply
   309,789x = 677,898 × 677,898
4. Step 4: Simplify right side
   309,789x = 459,545,698,404
5. Step 5: Solve for x
   x = 459,545,698,404/309,789
6. Step 6: Final answer
   x = 1,483,415.16