Finding the Third Proportional to 259,771.50 and 399,024

Step by Step Solution

1. Step 1: Write the proportion equation
   259,771.50 : 399,024 = 399,024 : x
2. Step 2: Convert to fraction form
   259,771.50/399,024 = 399,024/x
3. Step 3: Cross multiply
   259,771.50x = 399,024 × 399,024
4. Step 4: Simplify right side
   259,771.50x = 159,220,152,576
5. Step 5: Solve for x
   x = 159,220,152,576/259,771.50
6. Step 6: Final answer
   x = 612,923.87