Finding the Third Proportional to 1,536,914 and 2,469,399

Step by Step Solution

1. Step 1: Write the proportion equation
   1,536,914 : 2,469,399 = 2,469,399 : x
2. Step 2: Convert to fraction form
   1,536,914/2,469,399 = 2,469,399/x
3. Step 3: Cross multiply
   1,536,914x = 2,469,399 × 2,469,399
4. Step 4: Simplify right side
   1,536,914x = 6,097,931,421,201
5. Step 5: Solve for x
   x = 6,097,931,421,201/1,536,914
6. Step 6: Final answer
   x = 3,967,646.48