Finding the Third Proportional to 69.75 and 111.38

Step by Step Solution

1. Step 1: Write the proportion equation
   69.75 : 111.38 = 111.38 : x
2. Step 2: Convert to fraction form
   69.75/111.38 = 111.38/x
3. Step 3: Cross multiply
   69.75x = 111.38 × 111.38
4. Step 4: Simplify right side
   69.75x = 12,404.39
5. Step 5: Solve for x
   x = 12,404.39/69.75
6. Step 6: Final answer
   x = 177.84