Finding the Third Proportional to 646,569 and 978,830

Step by Step Solution

1. Step 1: Write the proportion equation
   646,569 : 978,830 = 978,830 : x
2. Step 2: Convert to fraction form
   646,569/978,830 = 978,830/x
3. Step 3: Cross multiply
   646,569x = 978,830 × 978,830
4. Step 4: Simplify right side
   646,569x = 958,108,168,900
5. Step 5: Solve for x
   x = 958,108,168,900/646,569
6. Step 6: Final answer
   x = 1,481,834.37