Finding the Third Proportional to 640,956 and 978,384

Step by Step Solution

1. Step 1: Write the proportion equation
   640,956 : 978,384 = 978,384 : x
2. Step 2: Convert to fraction form
   640,956/978,384 = 978,384/x
3. Step 3: Cross multiply
   640,956x = 978,384 × 978,384
4. Step 4: Simplify right side
   640,956x = 957,235,251,456
5. Step 5: Solve for x
   x = 957,235,251,456/640,956
6. Step 6: Final answer
   x = 1,493,449.24