Finding the Third Proportional to 89.50 and 200.38

Step by Step Solution

1. Step 1: Write the proportion equation
   89.50 : 200.38 = 200.38 : x
2. Step 2: Convert to fraction form
   89.50/200.38 = 200.38/x
3. Step 3: Cross multiply
   89.50x = 200.38 × 200.38
4. Step 4: Simplify right side
   89.50x = 40,150.14
5. Step 5: Solve for x
   x = 40,150.14/89.50
6. Step 6: Final answer
   x = 448.60