Finding the Third Proportional to 116.88 and 234.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116.88 : 234.50 = 234.50 : x
2. Step 2: Convert to fraction form
   116.88/234.50 = 234.50/x
3. Step 3: Cross multiply
   116.88x = 234.50 × 234.50
4. Step 4: Simplify right side
   116.88x = 54,990.25
5. Step 5: Solve for x
   x = 54,990.25/116.88
6. Step 6: Final answer
   x = 470.50