Finding the Third Proportional to 654,828 and 978,208

Step by Step Solution

1. Step 1: Write the proportion equation
   654,828 : 978,208 = 978,208 : x
2. Step 2: Convert to fraction form
   654,828/978,208 = 978,208/x
3. Step 3: Cross multiply
   654,828x = 978,208 × 978,208
4. Step 4: Simplify right side
   654,828x = 956,890,891,264
5. Step 5: Solve for x
   x = 956,890,891,264/654,828
6. Step 6: Final answer
   x = 1,461,285.85