Finding the Third Proportional to 646,381 and 978,570

Step by Step Solution

1. Step 1: Write the proportion equation
   646,381 : 978,570 = 978,570 : x
2. Step 2: Convert to fraction form
   646,381/978,570 = 978,570/x
3. Step 3: Cross multiply
   646,381x = 978,570 × 978,570
4. Step 4: Simplify right side
   646,381x = 957,599,244,900
5. Step 5: Solve for x
   x = 957,599,244,900/646,381
6. Step 6: Final answer
   x = 1,481,478.02