Finding the Third Proportional to 300,652 and 647,816

Step by Step Solution

1. Step 1: Write the proportion equation
   300,652 : 647,816 = 647,816 : x
2. Step 2: Convert to fraction form
   300,652/647,816 = 647,816/x
3. Step 3: Cross multiply
   300,652x = 647,816 × 647,816
4. Step 4: Simplify right side
   300,652x = 419,665,569,856
5. Step 5: Solve for x
   x = 419,665,569,856/300,652
6. Step 6: Final answer
   x = 1,395,851.58