Finding the Third Proportional to 333,878 and 517,665

Step by Step Solution

1. Step 1: Write the proportion equation
   333,878 : 517,665 = 517,665 : x
2. Step 2: Convert to fraction form
   333,878/517,665 = 517,665/x
3. Step 3: Cross multiply
   333,878x = 517,665 × 517,665
4. Step 4: Simplify right side
   333,878x = 267,977,052,225
5. Step 5: Solve for x
   x = 267,977,052,225/333,878
6. Step 6: Final answer
   x = 802,619.68