Finding the Third Proportional to 646,385 and 978,576

Step by Step Solution

1. Step 1: Write the proportion equation
   646,385 : 978,576 = 978,576 : x
2. Step 2: Convert to fraction form
   646,385/978,576 = 978,576/x
3. Step 3: Cross multiply
   646,385x = 978,576 × 978,576
4. Step 4: Simplify right side
   646,385x = 957,610,987,776
5. Step 5: Solve for x
   x = 957,610,987,776/646,385
6. Step 6: Final answer
   x = 1,481,487.02