Finding the Third Proportional to 333.25 and 511.38

Step by Step Solution

1. Step 1: Write the proportion equation
   333.25 : 511.38 = 511.38 : x
2. Step 2: Convert to fraction form
   333.25/511.38 = 511.38/x
3. Step 3: Cross multiply
   333.25x = 511.38 × 511.38
4. Step 4: Simplify right side
   333.25x = 261,504.39
5. Step 5: Solve for x
   x = 261,504.39/333.25
6. Step 6: Final answer
   x = 784.71