Finding the Third Proportional to 111.42 and 260.34

Step by Step Solution

1. Step 1: Write the proportion equation
   111.42 : 260.34 = 260.34 : x
2. Step 2: Convert to fraction form
   111.42/260.34 = 260.34/x
3. Step 3: Cross multiply
   111.42x = 260.34 × 260.34
4. Step 4: Simplify right side
   111.42x = 67,778.87
5. Step 5: Solve for x
   x = 67,778.87/111.42
6. Step 6: Final answer
   x = 608.31