Finding the Third Proportional to 1,198,320 and 2,564,448

Step by Step Solution

1. Step 1: Write the proportion equation
   1,198,320 : 2,564,448 = 2,564,448 : x
2. Step 2: Convert to fraction form
   1,198,320/2,564,448 = 2,564,448/x
3. Step 3: Cross multiply
   1,198,320x = 2,564,448 × 2,564,448
4. Step 4: Simplify right side
   1,198,320x = 6,576,393,544,704
5. Step 5: Solve for x
   x = 6,576,393,544,704/1,198,320
6. Step 6: Final answer
   x = 5,488,011.17