Finding the Third Proportional to 300,656 and 647,824

Step by Step Solution

1. Step 1: Write the proportion equation
   300,656 : 647,824 = 647,824 : x
2. Step 2: Convert to fraction form
   300,656/647,824 = 647,824/x
3. Step 3: Cross multiply
   300,656x = 647,824 × 647,824
4. Step 4: Simplify right side
   300,656x = 419,675,934,976
5. Step 5: Solve for x
   x = 419,675,934,976/300,656
6. Step 6: Final answer
   x = 1,395,867.49