Finding the Third Proportional to 343,963 and 521,146.50

Step by Step Solution

1. Step 1: Write the proportion equation
   343,963 : 521,146.50 = 521,146.50 : x
2. Step 2: Convert to fraction form
   343,963/521,146.50 = 521,146.50/x
3. Step 3: Cross multiply
   343,963x = 521,146.50 × 521,146.50
4. Step 4: Simplify right side
   343,963x = 271,593,674,462.25
5. Step 5: Solve for x
   x = 271,593,674,462.25/343,963
6. Step 6: Final answer
   x = 789,601.42