Finding the Third Proportional to 116.50 and 240.88

Step by Step Solution

1. Step 1: Write the proportion equation
   116.50 : 240.88 = 240.88 : x
2. Step 2: Convert to fraction form
   116.50/240.88 = 240.88/x
3. Step 3: Cross multiply
   116.50x = 240.88 × 240.88
4. Step 4: Simplify right side
   116.50x = 58,020.77
5. Step 5: Solve for x
   x = 58,020.77/116.50
6. Step 6: Final answer
   x = 498.03