Finding the Third Proportional to 654,920 and 978,336

Step by Step Solution

1. Step 1: Write the proportion equation
   654,920 : 978,336 = 978,336 : x
2. Step 2: Convert to fraction form
   654,920/978,336 = 978,336/x
3. Step 3: Cross multiply
   654,920x = 978,336 × 978,336
4. Step 4: Simplify right side
   654,920x = 957,141,328,896
5. Step 5: Solve for x
   x = 957,141,328,896/654,920
6. Step 6: Final answer
   x = 1,461,462.97