Finding the Third Proportional to 106.69 and 228.56

Step by Step Solution

1. Step 1: Write the proportion equation
   106.69 : 228.56 = 228.56 : x
2. Step 2: Convert to fraction form
   106.69/228.56 = 228.56/x
3. Step 3: Cross multiply
   106.69x = 228.56 × 228.56
4. Step 4: Simplify right side
   106.69x = 52,240.82
5. Step 5: Solve for x
   x = 52,240.82/106.69
6. Step 6: Final answer
   x = 489.66