Finding the Third Proportional to 190.69 and 261.56

Step by Step Solution

1. Step 1: Write the proportion equation
   190.69 : 261.56 = 261.56 : x
2. Step 2: Convert to fraction form
   190.69/261.56 = 261.56/x
3. Step 3: Cross multiply
   190.69x = 261.56 × 261.56
4. Step 4: Simplify right side
   190.69x = 68,414.94
5. Step 5: Solve for x
   x = 68,414.94/190.69
6. Step 6: Final answer
   x = 358.78