Finding the Third Proportional to 109.25 and 235.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109.25 : 235.50 = 235.50 : x
2. Step 2: Convert to fraction form
   109.25/235.50 = 235.50/x
3. Step 3: Cross multiply
   109.25x = 235.50 × 235.50
4. Step 4: Simplify right side
   109.25x = 55,460.25
5. Step 5: Solve for x
   x = 55,460.25/109.25
6. Step 6: Final answer
   x = 507.65