Finding the Third Proportional to 321.75 and 507.38

Step by Step Solution

1. Step 1: Write the proportion equation
   321.75 : 507.38 = 507.38 : x
2. Step 2: Convert to fraction form
   321.75/507.38 = 507.38/x
3. Step 3: Cross multiply
   321.75x = 507.38 × 507.38
4. Step 4: Simplify right side
   321.75x = 257,429.39
5. Step 5: Solve for x
   x = 257,429.39/321.75
6. Step 6: Final answer
   x = 800.09