Finding the Third Proportional to 654,871 and 978,265

Step by Step Solution

1. Step 1: Write the proportion equation
   654,871 : 978,265 = 978,265 : x
2. Step 2: Convert to fraction form
   654,871/978,265 = 978,265/x
3. Step 3: Cross multiply
   654,871x = 978,265 × 978,265
4. Step 4: Simplify right side
   654,871x = 957,002,410,225
5. Step 5: Solve for x
   x = 957,002,410,225/654,871
6. Step 6: Final answer
   x = 1,461,360.19