Finding the Third Proportional to 89.50 and 116

Step by Step Solution

1. Step 1: Write the proportion equation
   89.50 : 116 = 116 : x
2. Step 2: Convert to fraction form
   89.50/116 = 116/x
3. Step 3: Cross multiply
   89.50x = 116 × 116
4. Step 4: Simplify right side
   89.50x = 13,456
5. Step 5: Solve for x
   x = 13,456/89.50
6. Step 6: Final answer
   x = 150.35