Finding the Third Proportional to 111.80 and 242.37

Step by Step Solution

1. Step 1: Write the proportion equation
   111.80 : 242.37 = 242.37 : x
2. Step 2: Convert to fraction form
   111.80/242.37 = 242.37/x
3. Step 3: Cross multiply
   111.80x = 242.37 × 242.37
4. Step 4: Simplify right side
   111.80x = 58,741.85
5. Step 5: Solve for x
   x = 58,741.85/111.80
6. Step 6: Final answer
   x = 525.43