Finding the Third Proportional to 168.56 and 355.69

Step by Step Solution

1. Step 1: Write the proportion equation
   168.56 : 355.69 = 355.69 : x
2. Step 2: Convert to fraction form
   168.56/355.69 = 355.69/x
3. Step 3: Cross multiply
   168.56x = 355.69 × 355.69
4. Step 4: Simplify right side
   168.56x = 126,513.60
5. Step 5: Solve for x
   x = 126,513.60/168.56
6. Step 6: Final answer
   x = 750.54