Finding the Third Proportional to 111.94 and 181.13

Step by Step Solution

1. Step 1: Write the proportion equation
   111.94 : 181.13 = 181.13 : x
2. Step 2: Convert to fraction form
   111.94/181.13 = 181.13/x
3. Step 3: Cross multiply
   111.94x = 181.13 × 181.13
4. Step 4: Simplify right side
   111.94x = 32,806.27
5. Step 5: Solve for x
   x = 32,806.27/111.94
6. Step 6: Final answer
   x = 293.08