Finding the Third Proportional to 343,965 and 521,150

Step by Step Solution

1. Step 1: Write the proportion equation
   343,965 : 521,150 = 521,150 : x
2. Step 2: Convert to fraction form
   343,965/521,150 = 521,150/x
3. Step 3: Cross multiply
   343,965x = 521,150 × 521,150
4. Step 4: Simplify right side
   343,965x = 271,597,322,500
5. Step 5: Solve for x
   x = 271,597,322,500/343,965
6. Step 6: Final answer
   x = 789,607.44