Finding the Third Proportional to 223.38 and 349.31

Step by Step Solution

1. Step 1: Write the proportion equation
   223.38 : 349.31 = 349.31 : x
2. Step 2: Convert to fraction form
   223.38/349.31 = 349.31/x
3. Step 3: Cross multiply
   223.38x = 349.31 × 349.31
4. Step 4: Simplify right side
   223.38x = 122,019.22
5. Step 5: Solve for x
   x = 122,019.22/223.38
6. Step 6: Final answer
   x = 546.23