Finding the Third Proportional to 579.25 and 822.38

Step by Step Solution

1. Step 1: Write the proportion equation
   579.25 : 822.38 = 822.38 : x
2. Step 2: Convert to fraction form
   579.25/822.38 = 822.38/x
3. Step 3: Cross multiply
   579.25x = 822.38 × 822.38
4. Step 4: Simplify right side
   579.25x = 676,300.64
5. Step 5: Solve for x
   x = 676,300.64/579.25
6. Step 6: Final answer
   x = 1,167.55