Finding the Third Proportional to 142.13 and 233.25

Step by Step Solution

1. Step 1: Write the proportion equation
   142.13 : 233.25 = 233.25 : x
2. Step 2: Convert to fraction form
   142.13/233.25 = 233.25/x
3. Step 3: Cross multiply
   142.13x = 233.25 × 233.25
4. Step 4: Simplify right side
   142.13x = 54,405.56
5. Step 5: Solve for x
   x = 54,405.56/142.13
6. Step 6: Final answer
   x = 382.80