Finding the Third Proportional to 109.69 and 235.83

Step by Step Solution

1. Step 1: Write the proportion equation
   109.69 : 235.83 = 235.83 : x
2. Step 2: Convert to fraction form
   109.69/235.83 = 235.83/x
3. Step 3: Cross multiply
   109.69x = 235.83 × 235.83
4. Step 4: Simplify right side
   109.69x = 55,614.90
5. Step 5: Solve for x
   x = 55,614.90/109.69
6. Step 6: Final answer
   x = 507.03