Finding the Third Proportional to 343,996 and 521,184

Step by Step Solution

1. Step 1: Write the proportion equation
   343,996 : 521,184 = 521,184 : x
2. Step 2: Convert to fraction form
   343,996/521,184 = 521,184/x
3. Step 3: Cross multiply
   343,996x = 521,184 × 521,184
4. Step 4: Simplify right side
   343,996x = 271,632,761,856
5. Step 5: Solve for x
   x = 271,632,761,856/343,996
6. Step 6: Final answer
   x = 789,639.30