Finding the Third Proportional to 269,811 and 395,968.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,811 : 395,968.50 = 395,968.50 : x
2. Step 2: Convert to fraction form
   269,811/395,968.50 = 395,968.50/x
3. Step 3: Cross multiply
   269,811x = 395,968.50 × 395,968.50
4. Step 4: Simplify right side
   269,811x = 156,791,052,992.25
5. Step 5: Solve for x
   x = 156,791,052,992.25/269,811
6. Step 6: Final answer
   x = 581,114.38