Finding the Third Proportional to 640,976 and 978,414

Step by Step Solution

1. Step 1: Write the proportion equation
   640,976 : 978,414 = 978,414 : x
2. Step 2: Convert to fraction form
   640,976/978,414 = 978,414/x
3. Step 3: Cross multiply
   640,976x = 978,414 × 978,414
4. Step 4: Simplify right side
   640,976x = 957,293,955,396
5. Step 5: Solve for x
   x = 957,293,955,396/640,976
6. Step 6: Final answer
   x = 1,493,494.23