Finding the Third Proportional to 168.54 and 362.60

Step by Step Solution

1. Step 1: Write the proportion equation
   168.54 : 362.60 = 362.60 : x
2. Step 2: Convert to fraction form
   168.54/362.60 = 362.60/x
3. Step 3: Cross multiply
   168.54x = 362.60 × 362.60
4. Step 4: Simplify right side
   168.54x = 131,479.89
5. Step 5: Solve for x
   x = 131,479.89/168.54
6. Step 6: Final answer
   x = 780.12