Finding the Third Proportional to 1,638,256 and 2,564,398

Step by Step Solution

1. Step 1: Write the proportion equation
   1,638,256 : 2,564,398 = 2,564,398 : x
2. Step 2: Convert to fraction form
   1,638,256/2,564,398 = 2,564,398/x
3. Step 3: Cross multiply
   1,638,256x = 2,564,398 × 2,564,398
4. Step 4: Simplify right side
   1,638,256x = 6,576,137,102,404
5. Step 5: Solve for x
   x = 6,576,137,102,404/1,638,256
6. Step 6: Final answer
   x = 4,014,108.36