Finding the Third Proportional to 90.38 and 137.63

Step by Step Solution

1. Step 1: Write the proportion equation
   90.38 : 137.63 = 137.63 : x
2. Step 2: Convert to fraction form
   90.38/137.63 = 137.63/x
3. Step 3: Cross multiply
   90.38x = 137.63 × 137.63
4. Step 4: Simplify right side
   90.38x = 18,940.64
5. Step 5: Solve for x
   x = 18,940.64/90.38
6. Step 6: Final answer
   x = 209.58