Finding the Third Proportional to 89.50 and 200.75

Step by Step Solution

1. Step 1: Write the proportion equation
   89.50 : 200.75 = 200.75 : x
2. Step 2: Convert to fraction form
   89.50/200.75 = 200.75/x
3. Step 3: Cross multiply
   89.50x = 200.75 × 200.75
4. Step 4: Simplify right side
   89.50x = 40,300.56
5. Step 5: Solve for x
   x = 40,300.56/89.50
6. Step 6: Final answer
   x = 450.29