Finding the Third Proportional to 83.50 and 120.25

Step by Step Solution

1. Step 1: Write the proportion equation
   83.50 : 120.25 = 120.25 : x
2. Step 2: Convert to fraction form
   83.50/120.25 = 120.25/x
3. Step 3: Cross multiply
   83.50x = 120.25 × 120.25
4. Step 4: Simplify right side
   83.50x = 14,460.06
5. Step 5: Solve for x
   x = 14,460.06/83.50
6. Step 6: Final answer
   x = 173.17