Finding the Third Proportional to 654,914 and 978,327

Step by Step Solution

1. Step 1: Write the proportion equation
   654,914 : 978,327 = 978,327 : x
2. Step 2: Convert to fraction form
   654,914/978,327 = 978,327/x
3. Step 3: Cross multiply
   654,914x = 978,327 × 978,327
4. Step 4: Simplify right side
   654,914x = 957,123,718,929
5. Step 5: Solve for x
   x = 957,123,718,929/654,914
6. Step 6: Final answer
   x = 1,461,449.47