Finding the Third Proportional to 646,564 and 978,822

Step by Step Solution

1. Step 1: Write the proportion equation
   646,564 : 978,822 = 978,822 : x
2. Step 2: Convert to fraction form
   646,564/978,822 = 978,822/x
3. Step 3: Cross multiply
   646,564x = 978,822 × 978,822
4. Step 4: Simplify right side
   646,564x = 958,092,507,684
5. Step 5: Solve for x
   x = 958,092,507,684/646,564
6. Step 6: Final answer
   x = 1,481,821.61