Finding the Third Proportional to 111.73 and 237.87

Step by Step Solution

1. Step 1: Write the proportion equation
   111.73 : 237.87 = 237.87 : x
2. Step 2: Convert to fraction form
   111.73/237.87 = 237.87/x
3. Step 3: Cross multiply
   111.73x = 237.87 × 237.87
4. Step 4: Simplify right side
   111.73x = 56,581.32
5. Step 5: Solve for x
   x = 56,581.32/111.73
6. Step 6: Final answer
   x = 506.43