Finding the Third Proportional to 168.33 and 233.02

Step by Step Solution

1. Step 1: Write the proportion equation
   168.33 : 233.02 = 233.02 : x
2. Step 2: Convert to fraction form
   168.33/233.02 = 233.02/x
3. Step 3: Cross multiply
   168.33x = 233.02 × 233.02
4. Step 4: Simplify right side
   168.33x = 54,296.28
5. Step 5: Solve for x
   x = 54,296.28/168.33
6. Step 6: Final answer
   x = 322.56