Finding the Third Proportional to 259,345 and 394,347.50

Step by Step Solution

1. Step 1: Write the proportion equation
   259,345 : 394,347.50 = 394,347.50 : x
2. Step 2: Convert to fraction form
   259,345/394,347.50 = 394,347.50/x
3. Step 3: Cross multiply
   259,345x = 394,347.50 × 394,347.50
4. Step 4: Simplify right side
   259,345x = 155,509,950,756.25
5. Step 5: Solve for x
   x = 155,509,950,756.25/259,345
6. Step 6: Final answer
   x = 599,625.79