Finding the Third Proportional to 333,238 and 516,138

Step by Step Solution

1. Step 1: Write the proportion equation
   333,238 : 516,138 = 516,138 : x
2. Step 2: Convert to fraction form
   333,238/516,138 = 516,138/x
3. Step 3: Cross multiply
   333,238x = 516,138 × 516,138
4. Step 4: Simplify right side
   333,238x = 266,398,435,044
5. Step 5: Solve for x
   x = 266,398,435,044/333,238
6. Step 6: Final answer
   x = 799,423.94