Finding the Third Proportional to 559.75 and 822.88

Step by Step Solution

1. Step 1: Write the proportion equation
   559.75 : 822.88 = 822.88 : x
2. Step 2: Convert to fraction form
   559.75/822.88 = 822.88/x
3. Step 3: Cross multiply
   559.75x = 822.88 × 822.88
4. Step 4: Simplify right side
   559.75x = 677,123.27
5. Step 5: Solve for x
   x = 677,123.27/559.75
6. Step 6: Final answer
   x = 1,209.69