Finding the Third Proportional to 403.69 and 822.56

Step by Step Solution

1. Step 1: Write the proportion equation
   403.69 : 822.56 = 822.56 : x
2. Step 2: Convert to fraction form
   403.69/822.56 = 822.56/x
3. Step 3: Cross multiply
   403.69x = 822.56 × 822.56
4. Step 4: Simplify right side
   403.69x = 676,609.07
5. Step 5: Solve for x
   x = 676,609.07/403.69
6. Step 6: Final answer
   x = 1,676.07