Finding the Third Proportional to 343,961 and 521,134.50

Step by Step Solution

1. Step 1: Write the proportion equation
   343,961 : 521,134.50 = 521,134.50 : x
2. Step 2: Convert to fraction form
   343,961/521,134.50 = 521,134.50/x
3. Step 3: Cross multiply
   343,961x = 521,134.50 × 521,134.50
4. Step 4: Simplify right side
   343,961x = 271,581,167,090.25
5. Step 5: Solve for x
   x = 271,581,167,090.25/343,961
6. Step 6: Final answer
   x = 789,569.65