Finding the Third Proportional to 111.77 and 168.01

Step by Step Solution

1. Step 1: Write the proportion equation
   111.77 : 168.01 = 168.01 : x
2. Step 2: Convert to fraction form
   111.77/168.01 = 168.01/x
3. Step 3: Cross multiply
   111.77x = 168.01 × 168.01
4. Step 4: Simplify right side
   111.77x = 28,227.94
5. Step 5: Solve for x
   x = 28,227.94/111.77
6. Step 6: Final answer
   x = 252.55