Finding the Third Proportional to 109.69 and 235.69

Step by Step Solution

1. Step 1: Write the proportion equation
   109.69 : 235.69 = 235.69 : x
2. Step 2: Convert to fraction form
   109.69/235.69 = 235.69/x
3. Step 3: Cross multiply
   109.69x = 235.69 × 235.69
4. Step 4: Simplify right side
   109.69x = 55,548.60
5. Step 5: Solve for x
   x = 55,548.60/109.69
6. Step 6: Final answer
   x = 506.43