Finding the Third Proportional to 90.28 and 204.05

Step by Step Solution

1. Step 1: Write the proportion equation
   90.28 : 204.05 = 204.05 : x
2. Step 2: Convert to fraction form
   90.28/204.05 = 204.05/x
3. Step 3: Cross multiply
   90.28x = 204.05 × 204.05
4. Step 4: Simplify right side
   90.28x = 41,635.13
5. Step 5: Solve for x
   x = 41,635.13/90.28
6. Step 6: Final answer
   x = 461.17