Finding the Third Proportional to 202.27 and 426.61

Step by Step Solution

1. Step 1: Write the proportion equation
   202.27 : 426.61 = 426.61 : x
2. Step 2: Convert to fraction form
   202.27/426.61 = 426.61/x
3. Step 3: Cross multiply
   202.27x = 426.61 × 426.61
4. Step 4: Simplify right side
   202.27x = 181,995.56
5. Step 5: Solve for x
   x = 181,995.56/202.27
6. Step 6: Final answer
   x = 899.78