Finding the Third Proportional to 109.69 and 175.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109.69 : 175.50 = 175.50 : x
2. Step 2: Convert to fraction form
   109.69/175.50 = 175.50/x
3. Step 3: Cross multiply
   109.69x = 175.50 × 175.50
4. Step 4: Simplify right side
   109.69x = 30,800.25
5. Step 5: Solve for x
   x = 30,800.25/109.69
6. Step 6: Final answer
   x = 280.80