Finding the Third Proportional to 151.50 and 233.16

Step by Step Solution

1. Step 1: Write the proportion equation
   151.50 : 233.16 = 233.16 : x
2. Step 2: Convert to fraction form
   151.50/233.16 = 233.16/x
3. Step 3: Cross multiply
   151.50x = 233.16 × 233.16
4. Step 4: Simplify right side
   151.50x = 54,361.84
5. Step 5: Solve for x
   x = 54,361.84/151.50
6. Step 6: Final answer
   x = 358.82