Finding the Third Proportional to 168.20 and 362.17

Step by Step Solution

1. Step 1: Write the proportion equation
   168.20 : 362.17 = 362.17 : x
2. Step 2: Convert to fraction form
   168.20/362.17 = 362.17/x
3. Step 3: Cross multiply
   168.20x = 362.17 × 362.17
4. Step 4: Simplify right side
   168.20x = 131,168.47
5. Step 5: Solve for x
   x = 131,168.47/168.20
6. Step 6: Final answer
   x = 779.82