Finding the Third Proportional to 109.50 and 170.25

Step by Step Solution

1. Step 1: Write the proportion equation
   109.50 : 170.25 = 170.25 : x
2. Step 2: Convert to fraction form
   109.50/170.25 = 170.25/x
3. Step 3: Cross multiply
   109.50x = 170.25 × 170.25
4. Step 4: Simplify right side
   109.50x = 28,985.06
5. Step 5: Solve for x
   x = 28,985.06/109.50
6. Step 6: Final answer
   x = 264.70