Finding the Third Proportional to 109.50 and 240.94

Step by Step Solution

1. Step 1: Write the proportion equation
   109.50 : 240.94 = 240.94 : x
2. Step 2: Convert to fraction form
   109.50/240.94 = 240.94/x
3. Step 3: Cross multiply
   109.50x = 240.94 × 240.94
4. Step 4: Simplify right side
   109.50x = 58,050.88
5. Step 5: Solve for x
   x = 58,050.88/109.50
6. Step 6: Final answer
   x = 530.15