Finding the Third Proportional to 182.53 and 243.38

Step by Step Solution

1. Step 1: Write the proportion equation
   182.53 : 243.38 = 243.38 : x
2. Step 2: Convert to fraction form
   182.53/243.38 = 243.38/x
3. Step 3: Cross multiply
   182.53x = 243.38 × 243.38
4. Step 4: Simplify right side
   182.53x = 59,231.39
5. Step 5: Solve for x
   x = 59,231.39/182.53
6. Step 6: Final answer
   x = 324.50