Finding the Third Proportional to 111.94 and 263.81

Step by Step Solution

1. Step 1: Write the proportion equation
   111.94 : 263.81 = 263.81 : x
2. Step 2: Convert to fraction form
   111.94/263.81 = 263.81/x
3. Step 3: Cross multiply
   111.94x = 263.81 × 263.81
4. Step 4: Simplify right side
   111.94x = 69,597.04
5. Step 5: Solve for x
   x = 69,597.04/111.94
6. Step 6: Final answer
   x = 621.75