Finding the Third Proportional to 333,588 and 517,308

Step by Step Solution

1. Step 1: Write the proportion equation
   333,588 : 517,308 = 517,308 : x
2. Step 2: Convert to fraction form
   333,588/517,308 = 517,308/x
3. Step 3: Cross multiply
   333,588x = 517,308 × 517,308
4. Step 4: Simplify right side
   333,588x = 267,607,566,864
5. Step 5: Solve for x
   x = 267,607,566,864/333,588
6. Step 6: Final answer
   x = 802,209.81