Finding the Third Proportional to 233.50 and 299.25

Step by Step Solution

1. Step 1: Write the proportion equation
   233.50 : 299.25 = 299.25 : x
2. Step 2: Convert to fraction form
   233.50/299.25 = 299.25/x
3. Step 3: Cross multiply
   233.50x = 299.25 × 299.25
4. Step 4: Simplify right side
   233.50x = 89,550.56
5. Step 5: Solve for x
   x = 89,550.56/233.50
6. Step 6: Final answer
   x = 383.51