Finding the Third Proportional to 646,512 and 978,766

Step by Step Solution

1. Step 1: Write the proportion equation
   646,512 : 978,766 = 978,766 : x
2. Step 2: Convert to fraction form
   646,512/978,766 = 978,766/x
3. Step 3: Cross multiply
   646,512x = 978,766 × 978,766
4. Step 4: Simplify right side
   646,512x = 957,982,882,756
5. Step 5: Solve for x
   x = 957,982,882,756/646,512
6. Step 6: Final answer
   x = 1,481,771.23