Finding the Third Proportional to 640,954 and 978,381

Step by Step Solution

1. Step 1: Write the proportion equation
   640,954 : 978,381 = 978,381 : x
2. Step 2: Convert to fraction form
   640,954/978,381 = 978,381/x
3. Step 3: Cross multiply
   640,954x = 978,381 × 978,381
4. Step 4: Simplify right side
   640,954x = 957,229,381,161
5. Step 5: Solve for x
   x = 957,229,381,161/640,954
6. Step 6: Final answer
   x = 1,493,444.74