Finding the Third Proportional to 1,535,578 and 2,408,645

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535,578 : 2,408,645 = 2,408,645 : x
2. Step 2: Convert to fraction form
   1,535,578/2,408,645 = 2,408,645/x
3. Step 3: Cross multiply
   1,535,578x = 2,408,645 × 2,408,645
4. Step 4: Simplify right side
   1,535,578x = 5,801,570,736,025
5. Step 5: Solve for x
   x = 5,801,570,736,025/1,535,578
6. Step 6: Final answer
   x = 3,778,102.28