Finding the Third Proportional to 556.69 and 733.78

Step by Step Solution

1. Step 1: Write the proportion equation
   556.69 : 733.78 = 733.78 : x
2. Step 2: Convert to fraction form
   556.69/733.78 = 733.78/x
3. Step 3: Cross multiply
   556.69x = 733.78 × 733.78
4. Step 4: Simplify right side
   556.69x = 538,434.92
5. Step 5: Solve for x
   x = 538,434.92/556.69
6. Step 6: Final answer
   x = 967.21