Finding the Third Proportional to 259,419 and 394,444.50

Step by Step Solution

1. Step 1: Write the proportion equation
   259,419 : 394,444.50 = 394,444.50 : x
2. Step 2: Convert to fraction form
   259,419/394,444.50 = 394,444.50/x
3. Step 3: Cross multiply
   259,419x = 394,444.50 × 394,444.50
4. Step 4: Simplify right side
   259,419x = 155,586,463,580.25
5. Step 5: Solve for x
   x = 155,586,463,580.25/259,419
6. Step 6: Final answer
   x = 599,749.69