Finding the Third Proportional to 146.53 and 233.72

Step by Step Solution

1. Step 1: Write the proportion equation
   146.53 : 233.72 = 233.72 : x
2. Step 2: Convert to fraction form
   146.53/233.72 = 233.72/x
3. Step 3: Cross multiply
   146.53x = 233.72 × 233.72
4. Step 4: Simplify right side
   146.53x = 54,624.45
5. Step 5: Solve for x
   x = 54,624.45/146.53
6. Step 6: Final answer
   x = 372.78