Finding the Third Proportional to 111.75 and 236.63

Step by Step Solution

1. Step 1: Write the proportion equation
   111.75 : 236.63 = 236.63 : x
2. Step 2: Convert to fraction form
   111.75/236.63 = 236.63/x
3. Step 3: Cross multiply
   111.75x = 236.63 × 236.63
4. Step 4: Simplify right side
   111.75x = 55,991.39
5. Step 5: Solve for x
   x = 55,991.39/111.75
6. Step 6: Final answer
   x = 501.04