Finding the Third Proportional to 321.47 and 426.73

Step by Step Solution

1. Step 1: Write the proportion equation
   321.47 : 426.73 = 426.73 : x
2. Step 2: Convert to fraction form
   321.47/426.73 = 426.73/x
3. Step 3: Cross multiply
   321.47x = 426.73 × 426.73
4. Step 4: Simplify right side
   321.47x = 182,095.56
5. Step 5: Solve for x
   x = 182,095.56/321.47
6. Step 6: Final answer
   x = 566.45