Finding the Third Proportional to 422,822 and 654,828

Step by Step Solution

1. Step 1: Write the proportion equation
   422,822 : 654,828 = 654,828 : x
2. Step 2: Convert to fraction form
   422,822/654,828 = 654,828/x
3. Step 3: Cross multiply
   422,822x = 654,828 × 654,828
4. Step 4: Simplify right side
   422,822x = 428,799,709,584
5. Step 5: Solve for x
   x = 428,799,709,584/422,822
6. Step 6: Final answer
   x = 1,014,137.65