Finding the Third Proportional to 111.75 and 180.75

Step by Step Solution

1. Step 1: Write the proportion equation
   111.75 : 180.75 = 180.75 : x
2. Step 2: Convert to fraction form
   111.75/180.75 = 180.75/x
3. Step 3: Cross multiply
   111.75x = 180.75 × 180.75
4. Step 4: Simplify right side
   111.75x = 32,670.56
5. Step 5: Solve for x
   x = 32,670.56/111.75
6. Step 6: Final answer
   x = 292.35