Finding the Third Proportional to 1,007,744 and 1,408,896

Step by Step Solution

1. Step 1: Write the proportion equation
   1,007,744 : 1,408,896 = 1,408,896 : x
2. Step 2: Convert to fraction form
   1,007,744/1,408,896 = 1,408,896/x
3. Step 3: Cross multiply
   1,007,744x = 1,408,896 × 1,408,896
4. Step 4: Simplify right side
   1,007,744x = 1,984,987,938,816
5. Step 5: Solve for x
   x = 1,984,987,938,816/1,007,744
6. Step 6: Final answer
   x = 1,969,734.32