Finding the Third Proportional to 444,856 and 978,256

Step by Step Solution

1. Step 1: Write the proportion equation
   444,856 : 978,256 = 978,256 : x
2. Step 2: Convert to fraction form
   444,856/978,256 = 978,256/x
3. Step 3: Cross multiply
   444,856x = 978,256 × 978,256
4. Step 4: Simplify right side
   444,856x = 956,984,801,536
5. Step 5: Solve for x
   x = 956,984,801,536/444,856
6. Step 6: Final answer
   x = 2,151,223.77