Finding the Third Proportional to 654,825 and 978,204

Step by Step Solution

1. Step 1: Write the proportion equation
   654,825 : 978,204 = 978,204 : x
2. Step 2: Convert to fraction form
   654,825/978,204 = 978,204/x
3. Step 3: Cross multiply
   654,825x = 978,204 × 978,204
4. Step 4: Simplify right side
   654,825x = 956,883,065,616
5. Step 5: Solve for x
   x = 956,883,065,616/654,825
6. Step 6: Final answer
   x = 1,461,280.59