Finding the Third Proportional to 80.61 and 172.62

Step by Step Solution

1. Step 1: Write the proportion equation
   80.61 : 172.62 = 172.62 : x
2. Step 2: Convert to fraction form
   80.61/172.62 = 172.62/x
3. Step 3: Cross multiply
   80.61x = 172.62 × 172.62
4. Step 4: Simplify right side
   80.61x = 29,796.69
5. Step 5: Solve for x
   x = 29,796.69/80.61
6. Step 6: Final answer
   x = 369.63