Finding the Third Proportional to 168.33 and 264.52

Step by Step Solution

1. Step 1: Write the proportion equation
   168.33 : 264.52 = 264.52 : x
2. Step 2: Convert to fraction form
   168.33/264.52 = 264.52/x
3. Step 3: Cross multiply
   168.33x = 264.52 × 264.52
4. Step 4: Simplify right side
   168.33x = 69,968.52
5. Step 5: Solve for x
   x = 69,968.52/168.33
6. Step 6: Final answer
   x = 415.67