Finding the Third Proportional to 333,666 and 517,085

Step by Step Solution

1. Step 1: Write the proportion equation
   333,666 : 517,085 = 517,085 : x
2. Step 2: Convert to fraction form
   333,666/517,085 = 517,085/x
3. Step 3: Cross multiply
   333,666x = 517,085 × 517,085
4. Step 4: Simplify right side
   333,666x = 267,376,897,225
5. Step 5: Solve for x
   x = 267,376,897,225/333,666
6. Step 6: Final answer
   x = 801,330.96