Finding the Third Proportional to 111.06 and 238.19

Step by Step Solution

1. Step 1: Write the proportion equation
   111.06 : 238.19 = 238.19 : x
2. Step 2: Convert to fraction form
   111.06/238.19 = 238.19/x
3. Step 3: Cross multiply
   111.06x = 238.19 × 238.19
4. Step 4: Simplify right side
   111.06x = 56,733.29
5. Step 5: Solve for x
   x = 56,733.29/111.06
6. Step 6: Final answer
   x = 510.82