Finding the Third Proportional to 646,379 and 978,567

Step by Step Solution

1. Step 1: Write the proportion equation
   646,379 : 978,567 = 978,567 : x
2. Step 2: Convert to fraction form
   646,379/978,567 = 978,567/x
3. Step 3: Cross multiply
   646,379x = 978,567 × 978,567
4. Step 4: Simplify right side
   646,379x = 957,593,373,489
5. Step 5: Solve for x
   x = 957,593,373,489/646,379
6. Step 6: Final answer
   x = 1,481,473.52