Finding the Third Proportional to 90.50 and 212.38

Step by Step Solution

1. Step 1: Write the proportion equation
   90.50 : 212.38 = 212.38 : x
2. Step 2: Convert to fraction form
   90.50/212.38 = 212.38/x
3. Step 3: Cross multiply
   90.50x = 212.38 × 212.38
4. Step 4: Simplify right side
   90.50x = 45,103.14
5. Step 5: Solve for x
   x = 45,103.14/90.50
6. Step 6: Final answer
   x = 498.38