Finding the Third Proportional to 333,942 and 517,167

Step by Step Solution

1. Step 1: Write the proportion equation
   333,942 : 517,167 = 517,167 : x
2. Step 2: Convert to fraction form
   333,942/517,167 = 517,167/x
3. Step 3: Cross multiply
   333,942x = 517,167 × 517,167
4. Step 4: Simplify right side
   333,942x = 267,461,705,889
5. Step 5: Solve for x
   x = 267,461,705,889/333,942
6. Step 6: Final answer
   x = 800,922.63