Finding the Third Proportional to 70.56 and 111.69

Step by Step Solution

1. Step 1: Write the proportion equation
   70.56 : 111.69 = 111.69 : x
2. Step 2: Convert to fraction form
   70.56/111.69 = 111.69/x
3. Step 3: Cross multiply
   70.56x = 111.69 × 111.69
4. Step 4: Simplify right side
   70.56x = 12,474.97
5. Step 5: Solve for x
   x = 12,474.97/70.56
6. Step 6: Final answer
   x = 176.80