Finding the Third Proportional to 333,252 and 516,158

Step by Step Solution

1. Step 1: Write the proportion equation
   333,252 : 516,158 = 516,158 : x
2. Step 2: Convert to fraction form
   333,252/516,158 = 516,158/x
3. Step 3: Cross multiply
   333,252x = 516,158 × 516,158
4. Step 4: Simplify right side
   333,252x = 266,419,080,964
5. Step 5: Solve for x
   x = 266,419,080,964/333,252
6. Step 6: Final answer
   x = 799,452.31