Finding the Third Proportional to 333,868 and 517,650

Step by Step Solution

1. Step 1: Write the proportion equation
   333,868 : 517,650 = 517,650 : x
2. Step 2: Convert to fraction form
   333,868/517,650 = 517,650/x
3. Step 3: Cross multiply
   333,868x = 517,650 × 517,650
4. Step 4: Simplify right side
   333,868x = 267,961,522,500
5. Step 5: Solve for x
   x = 267,961,522,500/333,868
6. Step 6: Final answer
   x = 802,597.20