Finding the Third Proportional to 74.58 and 111.42

Step by Step Solution

1. Step 1: Write the proportion equation
   74.58 : 111.42 = 111.42 : x
2. Step 2: Convert to fraction form
   74.58/111.42 = 111.42/x
3. Step 3: Cross multiply
   74.58x = 111.42 × 111.42
4. Step 4: Simplify right side
   74.58x = 12,414.83
5. Step 5: Solve for x
   x = 12,414.83/74.58
6. Step 6: Final answer
   x = 166.47