Finding the Third Proportional to 123.56 and 229.41

Step by Step Solution

1. Step 1: Write the proportion equation
   123.56 : 229.41 = 229.41 : x
2. Step 2: Convert to fraction form
   123.56/229.41 = 229.41/x
3. Step 3: Cross multiply
   123.56x = 229.41 × 229.41
4. Step 4: Simplify right side
   123.56x = 52,627.23
5. Step 5: Solve for x
   x = 52,627.23/123.56
6. Step 6: Final answer
   x = 425.92