Finding the Third Proportional to 110.50 and 123.25

Step by Step Solution

1. Step 1: Write the proportion equation
   110.50 : 123.25 = 123.25 : x
2. Step 2: Convert to fraction form
   110.50/123.25 = 123.25/x
3. Step 3: Cross multiply
   110.50x = 123.25 × 123.25
4. Step 4: Simplify right side
   110.50x = 15,190.56
5. Step 5: Solve for x
   x = 15,190.56/110.50
6. Step 6: Final answer
   x = 137.47