Finding the Third Proportional to 83.75 and 162.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83.75 : 162.25 = 162.25 : x
2. Step 2: Convert to fraction form
   83.75/162.25 = 162.25/x
3. Step 3: Cross multiply
   83.75x = 162.25 × 162.25
4. Step 4: Simplify right side
   83.75x = 26,325.06
5. Step 5: Solve for x
   x = 26,325.06/83.75
6. Step 6: Final answer
   x = 314.33