Finding the Third Proportional to 116 and 160.50

Step by Step Solution

1. Step 1: Write the proportion equation
   116 : 160.50 = 160.50 : x
2. Step 2: Convert to fraction form
   116/160.50 = 160.50/x
3. Step 3: Cross multiply
   116x = 160.50 × 160.50
4. Step 4: Simplify right side
   116x = 25,760.25
5. Step 5: Solve for x
   x = 25,760.25/116
6. Step 6: Final answer
   x = 222.07