Finding the Third Proportional to 106.75 and 154.50

Step by Step Solution

1. Step 1: Write the proportion equation
   106.75 : 154.50 = 154.50 : x
2. Step 2: Convert to fraction form
   106.75/154.50 = 154.50/x
3. Step 3: Cross multiply
   106.75x = 154.50 × 154.50
4. Step 4: Simplify right side
   106.75x = 23,870.25
5. Step 5: Solve for x
   x = 23,870.25/106.75
6. Step 6: Final answer
   x = 223.61