Finding the Third Proportional to 654,984 and 978,420

Step by Step Solution

1. Step 1: Write the proportion equation
   654,984 : 978,420 = 978,420 : x
2. Step 2: Convert to fraction form
   654,984/978,420 = 978,420/x
3. Step 3: Cross multiply
   654,984x = 978,420 × 978,420
4. Step 4: Simplify right side
   654,984x = 957,305,696,400
5. Step 5: Solve for x
   x = 957,305,696,400/654,984
6. Step 6: Final answer
   x = 1,461,571.12