Finding the Third Proportional to 333,780 and 517,162

Step by Step Solution

1. Step 1: Write the proportion equation
   333,780 : 517,162 = 517,162 : x
2. Step 2: Convert to fraction form
   333,780/517,162 = 517,162/x
3. Step 3: Cross multiply
   333,780x = 517,162 × 517,162
4. Step 4: Simplify right side
   333,780x = 267,456,534,244
5. Step 5: Solve for x
   x = 267,456,534,244/333,780
6. Step 6: Final answer
   x = 801,295.87