Finding the Third Proportional to 654,878 and 978,277

Step by Step Solution

1. Step 1: Write the proportion equation
   654,878 : 978,277 = 978,277 : x
2. Step 2: Convert to fraction form
   654,878/978,277 = 978,277/x
3. Step 3: Cross multiply
   654,878x = 978,277 × 978,277
4. Step 4: Simplify right side
   654,878x = 957,025,888,729
5. Step 5: Solve for x
   x = 957,025,888,729/654,878
6. Step 6: Final answer
   x = 1,461,380.42