Finding the Third Proportional to 300,659 and 647,830

Step by Step Solution

1. Step 1: Write the proportion equation
   300,659 : 647,830 = 647,830 : x
2. Step 2: Convert to fraction form
   300,659/647,830 = 647,830/x
3. Step 3: Cross multiply
   300,659x = 647,830 × 647,830
4. Step 4: Simplify right side
   300,659x = 419,683,708,900
5. Step 5: Solve for x
   x = 419,683,708,900/300,659
6. Step 6: Final answer
   x = 1,395,879.41