Finding the Third Proportional to 334,012 and 517,290

Step by Step Solution

1. Step 1: Write the proportion equation
   334,012 : 517,290 = 517,290 : x
2. Step 2: Convert to fraction form
   334,012/517,290 = 517,290/x
3. Step 3: Cross multiply
   334,012x = 517,290 × 517,290
4. Step 4: Simplify right side
   334,012x = 267,588,944,100
5. Step 5: Solve for x
   x = 267,588,944,100/334,012
6. Step 6: Final answer
   x = 801,135.72