Finding the Third Proportional to 426.09 and 491.06

Step by Step Solution

1. Step 1: Write the proportion equation
   426.09 : 491.06 = 491.06 : x
2. Step 2: Convert to fraction form
   426.09/491.06 = 491.06/x
3. Step 3: Cross multiply
   426.09x = 491.06 × 491.06
4. Step 4: Simplify right side
   426.09x = 241,142.38
5. Step 5: Solve for x
   x = 241,142.38/426.09
6. Step 6: Final answer
   x = 565.94