Finding the Third Proportional to 444,849 and 978,257

Step by Step Solution

1. Step 1: Write the proportion equation
   444,849 : 978,257 = 978,257 : x
2. Step 2: Convert to fraction form
   444,849/978,257 = 978,257/x
3. Step 3: Cross multiply
   444,849x = 978,257 × 978,257
4. Step 4: Simplify right side
   444,849x = 956,986,758,049
5. Step 5: Solve for x
   x = 956,986,758,049/444,849
6. Step 6: Final answer
   x = 2,151,262.02