Finding the Third Proportional to 111.94 and 171.84

Step by Step Solution

1. Step 1: Write the proportion equation
   111.94 : 171.84 = 171.84 : x
2. Step 2: Convert to fraction form
   111.94/171.84 = 171.84/x
3. Step 3: Cross multiply
   111.94x = 171.84 × 171.84
4. Step 4: Simplify right side
   111.94x = 29,530.27
5. Step 5: Solve for x
   x = 29,530.27/111.94
6. Step 6: Final answer
   x = 263.81