Finding the Third Proportional to 108 and 151.50

Step by Step Solution

1. Step 1: Write the proportion equation
   108 : 151.50 = 151.50 : x
2. Step 2: Convert to fraction form
   108/151.50 = 151.50/x
3. Step 3: Cross multiply
   108x = 151.50 × 151.50
4. Step 4: Simplify right side
   108x = 22,952.25
5. Step 5: Solve for x
   x = 22,952.25/108
6. Step 6: Final answer
   x = 212.52