Finding the Third Proportional to 535.41 and 822.56

Step by Step Solution

1. Step 1: Write the proportion equation
   535.41 : 822.56 = 822.56 : x
2. Step 2: Convert to fraction form
   535.41/822.56 = 822.56/x
3. Step 3: Cross multiply
   535.41x = 822.56 × 822.56
4. Step 4: Simplify right side
   535.41x = 676,609.07
5. Step 5: Solve for x
   x = 676,609.07/535.41
6. Step 6: Final answer
   x = 1,263.73