Finding the Third Proportional to 333,240 and 516,142

Step by Step Solution

1. Step 1: Write the proportion equation
   333,240 : 516,142 = 516,142 : x
2. Step 2: Convert to fraction form
   333,240/516,142 = 516,142/x
3. Step 3: Cross multiply
   333,240x = 516,142 × 516,142
4. Step 4: Simplify right side
   333,240x = 266,402,564,164
5. Step 5: Solve for x
   x = 266,402,564,164/333,240
6. Step 6: Final answer
   x = 799,431.53