Finding the Third Proportional to 181.97 and 380.81

Step by Step Solution

1. Step 1: Write the proportion equation
   181.97 : 380.81 = 380.81 : x
2. Step 2: Convert to fraction form
   181.97/380.81 = 380.81/x
3. Step 3: Cross multiply
   181.97x = 380.81 × 380.81
4. Step 4: Simplify right side
   181.97x = 145,018.16
5. Step 5: Solve for x
   x = 145,018.16/181.97
6. Step 6: Final answer
   x = 796.94