Finding the Third Proportional to 223.31 and 336.38

Step by Step Solution

1. Step 1: Write the proportion equation
   223.31 : 336.38 = 336.38 : x
2. Step 2: Convert to fraction form
   223.31/336.38 = 336.38/x
3. Step 3: Cross multiply
   223.31x = 336.38 × 336.38
4. Step 4: Simplify right side
   223.31x = 113,148.14
5. Step 5: Solve for x
   x = 113,148.14/223.31
6. Step 6: Final answer
   x = 506.68