Finding the Third Proportional to 724,256 and 1,578,048

Step by Step Solution

1. Step 1: Write the proportion equation
   724,256 : 1,578,048 = 1,578,048 : x
2. Step 2: Convert to fraction form
   724,256/1,578,048 = 1,578,048/x
3. Step 3: Cross multiply
   724,256x = 1,578,048 × 1,578,048
4. Step 4: Simplify right side
   724,256x = 2,490,235,490,304
5. Step 5: Solve for x
   x = 2,490,235,490,304/724,256
6. Step 6: Final answer
   x = 3,438,336.02