Finding the Third Proportional to 259,744 and 388,569.50

Step by Step Solution

1. Step 1: Write the proportion equation
   259,744 : 388,569.50 = 388,569.50 : x
2. Step 2: Convert to fraction form
   259,744/388,569.50 = 388,569.50/x
3. Step 3: Cross multiply
   259,744x = 388,569.50 × 388,569.50
4. Step 4: Simplify right side
   259,744x = 150,986,256,330.25
5. Step 5: Solve for x
   x = 150,986,256,330.25/259,744
6. Step 6: Final answer
   x = 581,288.72