Finding the Third Proportional to 137.69 and 187.53

Step by Step Solution

1. Step 1: Write the proportion equation
   137.69 : 187.53 = 187.53 : x
2. Step 2: Convert to fraction form
   137.69/187.53 = 187.53/x
3. Step 3: Cross multiply
   137.69x = 187.53 × 187.53
4. Step 4: Simplify right side
   137.69x = 35,167.97
5. Step 5: Solve for x
   x = 35,167.97/137.69
6. Step 6: Final answer
   x = 255.42