Finding the Third Proportional to 123.89 and 228.09

Step by Step Solution

1. Step 1: Write the proportion equation
   123.89 : 228.09 = 228.09 : x
2. Step 2: Convert to fraction form
   123.89/228.09 = 228.09/x
3. Step 3: Cross multiply
   123.89x = 228.09 × 228.09
4. Step 4: Simplify right side
   123.89x = 52,026.76
5. Step 5: Solve for x
   x = 52,026.76/123.89
6. Step 6: Final answer
   x = 419.94