Finding the Third Proportional to 108.50 and 142.38

Step by Step Solution

1. Step 1: Write the proportion equation
   108.50 : 142.38 = 142.38 : x
2. Step 2: Convert to fraction form
   108.50/142.38 = 142.38/x
3. Step 3: Cross multiply
   108.50x = 142.38 × 142.38
4. Step 4: Simplify right side
   108.50x = 20,270.64
5. Step 5: Solve for x
   x = 20,270.64/108.50
6. Step 6: Final answer
   x = 186.83