Finding the Third Proportional to 111.84 and 172.03

Step by Step Solution

1. Step 1: Write the proportion equation
   111.84 : 172.03 = 172.03 : x
2. Step 2: Convert to fraction form
   111.84/172.03 = 172.03/x
3. Step 3: Cross multiply
   111.84x = 172.03 × 172.03
4. Step 4: Simplify right side
   111.84x = 29,594.75
5. Step 5: Solve for x
   x = 29,594.75/111.84
6. Step 6: Final answer
   x = 264.61