Finding the Third Proportional to 565.78 and 1,222.69

Step by Step Solution

1. Step 1: Write the proportion equation
   565.78 : 1,222.69 = 1,222.69 : x
2. Step 2: Convert to fraction form
   565.78/1,222.69 = 1,222.69/x
3. Step 3: Cross multiply
   565.78x = 1,222.69 × 1,222.69
4. Step 4: Simplify right side
   565.78x = 1,494,964.72
5. Step 5: Solve for x
   x = 1,494,964.72/565.78
6. Step 6: Final answer
   x = 2,642.30