Finding the Third Proportional to 333,876 and 517,662

Step by Step Solution

1. Step 1: Write the proportion equation
   333,876 : 517,662 = 517,662 : x
2. Step 2: Convert to fraction form
   333,876/517,662 = 517,662/x
3. Step 3: Cross multiply
   333,876x = 517,662 × 517,662
4. Step 4: Simplify right side
   333,876x = 267,973,946,244
5. Step 5: Solve for x
   x = 267,973,946,244/333,876
6. Step 6: Final answer
   x = 802,615.18