Finding the Third Proportional to 419,256 and 664,200

Step by Step Solution

1. Step 1: Write the proportion equation
   419,256 : 664,200 = 664,200 : x
2. Step 2: Convert to fraction form
   419,256/664,200 = 664,200/x
3. Step 3: Cross multiply
   419,256x = 664,200 × 664,200
4. Step 4: Simplify right side
   419,256x = 441,161,640,000
5. Step 5: Solve for x
   x = 441,161,640,000/419,256
6. Step 6: Final answer
   x = 1,052,248.84