Finding the Third Proportional to 168.25 and 359.56

Step by Step Solution

1. Step 1: Write the proportion equation
   168.25 : 359.56 = 359.56 : x
2. Step 2: Convert to fraction form
   168.25/359.56 = 359.56/x
3. Step 3: Cross multiply
   168.25x = 359.56 × 359.56
4. Step 4: Simplify right side
   168.25x = 129,285.19
5. Step 5: Solve for x
   x = 129,285.19/168.25
6. Step 6: Final answer
   x = 768.41