Finding the Third Proportional to 269,809 and 395,967.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,809 : 395,967.50 = 395,967.50 : x
2. Step 2: Convert to fraction form
   269,809/395,967.50 = 395,967.50/x
3. Step 3: Cross multiply
   269,809x = 395,967.50 × 395,967.50
4. Step 4: Simplify right side
   269,809x = 156,790,261,056.25
5. Step 5: Solve for x
   x = 156,790,261,056.25/269,809
6. Step 6: Final answer
   x = 581,115.76