Finding the Third Proportional to 259,809.50 and 413,727

Step by Step Solution

1. Step 1: Write the proportion equation
   259,809.50 : 413,727 = 413,727 : x
2. Step 2: Convert to fraction form
   259,809.50/413,727 = 413,727/x
3. Step 3: Cross multiply
   259,809.50x = 413,727 × 413,727
4. Step 4: Simplify right side
   259,809.50x = 171,170,030,529
5. Step 5: Solve for x
   x = 171,170,030,529/259,809.50
6. Step 6: Final answer
   x = 658,828.99