Finding the Third Proportional to 168.50 and 355.38

Step by Step Solution

1. Step 1: Write the proportion equation
   168.50 : 355.38 = 355.38 : x
2. Step 2: Convert to fraction form
   168.50/355.38 = 355.38/x
3. Step 3: Cross multiply
   168.50x = 355.38 × 355.38
4. Step 4: Simplify right side
   168.50x = 126,291.39
5. Step 5: Solve for x
   x = 126,291.39/168.50
6. Step 6: Final answer
   x = 749.50