Finding the Third Proportional to 1,535,576 and 2,408,642

Step by Step Solution

1. Step 1: Write the proportion equation
   1,535,576 : 2,408,642 = 2,408,642 : x
2. Step 2: Convert to fraction form
   1,535,576/2,408,642 = 2,408,642/x
3. Step 3: Cross multiply
   1,535,576x = 2,408,642 × 2,408,642
4. Step 4: Simplify right side
   1,535,576x = 5,801,556,284,164
5. Step 5: Solve for x
   x = 5,801,556,284,164/1,535,576
6. Step 6: Final answer
   x = 3,778,097.78