Finding the Third Proportional to 331,411.50 and 510,057

Step by Step Solution

1. Step 1: Write the proportion equation
   331,411.50 : 510,057 = 510,057 : x
2. Step 2: Convert to fraction form
   331,411.50/510,057 = 510,057/x
3. Step 3: Cross multiply
   331,411.50x = 510,057 × 510,057
4. Step 4: Simplify right side
   331,411.50x = 260,158,143,249
5. Step 5: Solve for x
   x = 260,158,143,249/331,411.50
6. Step 6: Final answer
   x = 785,000.35