Finding the Third Proportional to 654,865 and 978,256

Step by Step Solution

1. Step 1: Write the proportion equation
   654,865 : 978,256 = 978,256 : x
2. Step 2: Convert to fraction form
   654,865/978,256 = 978,256/x
3. Step 3: Cross multiply
   654,865x = 978,256 × 978,256
4. Step 4: Simplify right side
   654,865x = 956,984,801,536
5. Step 5: Solve for x
   x = 956,984,801,536/654,865
6. Step 6: Final answer
   x = 1,461,346.69