Finding the Third Proportional to 102.69 and 227.94

Step by Step Solution

1. Step 1: Write the proportion equation
   102.69 : 227.94 = 227.94 : x
2. Step 2: Convert to fraction form
   102.69/227.94 = 227.94/x
3. Step 3: Cross multiply
   102.69x = 227.94 × 227.94
4. Step 4: Simplify right side
   102.69x = 51,955.50
5. Step 5: Solve for x
   x = 51,955.50/102.69
6. Step 6: Final answer
   x = 505.96