Finding the Third Proportional to 82.90 and 119.60

Step by Step Solution

1. Step 1: Write the proportion equation
   82.90 : 119.60 = 119.60 : x
2. Step 2: Convert to fraction form
   82.90/119.60 = 119.60/x
3. Step 3: Cross multiply
   82.90x = 119.60 × 119.60
4. Step 4: Simplify right side
   82.90x = 14,304.53
5. Step 5: Solve for x
   x = 14,304.53/82.90
6. Step 6: Final answer
   x = 172.55