Finding the Third Proportional to 137.50 and 185.13

Step by Step Solution

1. Step 1: Write the proportion equation
   137.50 : 185.13 = 185.13 : x
2. Step 2: Convert to fraction form
   137.50/185.13 = 185.13/x
3. Step 3: Cross multiply
   137.50x = 185.13 × 185.13
4. Step 4: Simplify right side
   137.50x = 34,271.27
5. Step 5: Solve for x
   x = 34,271.27/137.50
6. Step 6: Final answer
   x = 249.25