Finding the Third Proportional to 640,944 and 978,365

Step by Step Solution

1. Step 1: Write the proportion equation
   640,944 : 978,365 = 978,365 : x
2. Step 2: Convert to fraction form
   640,944/978,365 = 978,365/x
3. Step 3: Cross multiply
   640,944x = 978,365 × 978,365
4. Step 4: Simplify right side
   640,944x = 957,198,073,225
5. Step 5: Solve for x
   x = 957,198,073,225/640,944
6. Step 6: Final answer
   x = 1,493,419.20