Finding the Third Proportional to 654,833 and 978,216

Step by Step Solution

1. Step 1: Write the proportion equation
   654,833 : 978,216 = 978,216 : x
2. Step 2: Convert to fraction form
   654,833/978,216 = 978,216/x
3. Step 3: Cross multiply
   654,833x = 978,216 × 978,216
4. Step 4: Simplify right side
   654,833x = 956,906,542,656
5. Step 5: Solve for x
   x = 956,906,542,656/654,833
6. Step 6: Final answer
   x = 1,461,298.59