Finding the Third Proportional to 137.53 and 213.33

Step by Step Solution

1. Step 1: Write the proportion equation
   137.53 : 213.33 = 213.33 : x
2. Step 2: Convert to fraction form
   137.53/213.33 = 213.33/x
3. Step 3: Cross multiply
   137.53x = 213.33 × 213.33
4. Step 4: Simplify right side
   137.53x = 45,508.89
5. Step 5: Solve for x
   x = 45,508.89/137.53
6. Step 6: Final answer
   x = 330.90