Finding the Third Proportional to 192.38 and 262.83

Step by Step Solution

1. Step 1: Write the proportion equation
   192.38 : 262.83 = 262.83 : x
2. Step 2: Convert to fraction form
   192.38/262.83 = 262.83/x
3. Step 3: Cross multiply
   192.38x = 262.83 × 262.83
4. Step 4: Simplify right side
   192.38x = 69,078.62
5. Step 5: Solve for x
   x = 69,078.62/192.38
6. Step 6: Final answer
   x = 359.08