Finding the Third Proportional to 640,964 and 978,396

Step by Step Solution

1. Step 1: Write the proportion equation
   640,964 : 978,396 = 978,396 : x
2. Step 2: Convert to fraction form
   640,964/978,396 = 978,396/x
3. Step 3: Cross multiply
   640,964x = 978,396 × 978,396
4. Step 4: Simplify right side
   640,964x = 957,258,732,816
5. Step 5: Solve for x
   x = 957,258,732,816/640,964
6. Step 6: Final answer
   x = 1,493,467.24