Finding the Third Proportional to 102.56 and 123.56

Step by Step Solution

1. Step 1: Write the proportion equation
   102.56 : 123.56 = 123.56 : x
2. Step 2: Convert to fraction form
   102.56/123.56 = 123.56/x
3. Step 3: Cross multiply
   102.56x = 123.56 × 123.56
4. Step 4: Simplify right side
   102.56x = 15,267.69
5. Step 5: Solve for x
   x = 15,267.69/102.56
6. Step 6: Final answer
   x = 148.86