Finding the Third Proportional to 1,584,648 and 2,454,768

Step by Step Solution

1. Step 1: Write the proportion equation
   1,584,648 : 2,454,768 = 2,454,768 : x
2. Step 2: Convert to fraction form
   1,584,648/2,454,768 = 2,454,768/x
3. Step 3: Cross multiply
   1,584,648x = 2,454,768 × 2,454,768
4. Step 4: Simplify right side
   1,584,648x = 6,025,885,933,824
5. Step 5: Solve for x
   x = 6,025,885,933,824/1,584,648
6. Step 6: Final answer
   x = 3,802,665.28