Finding the Third Proportional to 449,665 and 978,647

Step by Step Solution

1. Step 1: Write the proportion equation
   449,665 : 978,647 = 978,647 : x
2. Step 2: Convert to fraction form
   449,665/978,647 = 978,647/x
3. Step 3: Cross multiply
   449,665x = 978,647 × 978,647
4. Step 4: Simplify right side
   449,665x = 957,749,950,609
5. Step 5: Solve for x
   x = 957,749,950,609/449,665
6. Step 6: Final answer
   x = 2,129,918.83