Finding the Third Proportional to 111.59 and 237.62

Step by Step Solution

1. Step 1: Write the proportion equation
   111.59 : 237.62 = 237.62 : x
2. Step 2: Convert to fraction form
   111.59/237.62 = 237.62/x
3. Step 3: Cross multiply
   111.59x = 237.62 × 237.62
4. Step 4: Simplify right side
   111.59x = 56,463.78
5. Step 5: Solve for x
   x = 56,463.78/111.59
6. Step 6: Final answer
   x = 506.01