Finding the Third Proportional to 646,377 and 978,564

Step by Step Solution

1. Step 1: Write the proportion equation
   646,377 : 978,564 = 978,564 : x
2. Step 2: Convert to fraction form
   646,377/978,564 = 978,564/x
3. Step 3: Cross multiply
   646,377x = 978,564 × 978,564
4. Step 4: Simplify right side
   646,377x = 957,587,502,096
5. Step 5: Solve for x
   x = 957,587,502,096/646,377
6. Step 6: Final answer
   x = 1,481,469.02