Finding the Third Proportional to 640,952 and 978,378

Step by Step Solution

1. Step 1: Write the proportion equation
   640,952 : 978,378 = 978,378 : x
2. Step 2: Convert to fraction form
   640,952/978,378 = 978,378/x
3. Step 3: Cross multiply
   640,952x = 978,378 × 978,378
4. Step 4: Simplify right side
   640,952x = 957,223,510,884
5. Step 5: Solve for x
   x = 957,223,510,884/640,952
6. Step 6: Final answer
   x = 1,493,440.24