Finding the Third Proportional to 90.50 and 185.38

Step by Step Solution

1. Step 1: Write the proportion equation
   90.50 : 185.38 = 185.38 : x
2. Step 2: Convert to fraction form
   90.50/185.38 = 185.38/x
3. Step 3: Cross multiply
   90.50x = 185.38 × 185.38
4. Step 4: Simplify right side
   90.50x = 34,363.89
5. Step 5: Solve for x
   x = 34,363.89/90.50
6. Step 6: Final answer
   x = 379.71