Finding the Third Proportional to 426.09 and 467.86

Step by Step Solution

1. Step 1: Write the proportion equation
   426.09 : 467.86 = 467.86 : x
2. Step 2: Convert to fraction form
   426.09/467.86 = 467.86/x
3. Step 3: Cross multiply
   426.09x = 467.86 × 467.86
4. Step 4: Simplify right side
   426.09x = 218,892.39
5. Step 5: Solve for x
   x = 218,892.39/426.09
6. Step 6: Final answer
   x = 513.72