Finding the Third Proportional to 426.50 and 459.25

Step by Step Solution

1. Step 1: Write the proportion equation
   426.50 : 459.25 = 459.25 : x
2. Step 2: Convert to fraction form
   426.50/459.25 = 459.25/x
3. Step 3: Cross multiply
   426.50x = 459.25 × 459.25
4. Step 4: Simplify right side
   426.50x = 210,910.56
5. Step 5: Solve for x
   x = 210,910.56/426.50
6. Step 6: Final answer
   x = 494.51