Finding the Third Proportional to 654,906 and 978,315

Step by Step Solution

1. Step 1: Write the proportion equation
   654,906 : 978,315 = 978,315 : x
2. Step 2: Convert to fraction form
   654,906/978,315 = 978,315/x
3. Step 3: Cross multiply
   654,906x = 978,315 × 978,315
4. Step 4: Simplify right side
   654,906x = 957,100,239,225
5. Step 5: Solve for x
   x = 957,100,239,225/654,906
6. Step 6: Final answer
   x = 1,461,431.47