Finding the Third Proportional to 269,039.41 and 585,369.50

Step by Step Solution

1. Step 1: Write the proportion equation
   269,039.41 : 585,369.50 = 585,369.50 : x
2. Step 2: Convert to fraction form
   269,039.41/585,369.50 = 585,369.50/x
3. Step 3: Cross multiply
   269,039.41x = 585,369.50 × 585,369.50
4. Step 4: Simplify right side
   269,039.41x = 342,657,451,530.25
5. Step 5: Solve for x
   x = 342,657,451,530.25/269,039.41
6. Step 6: Final answer
   x = 1,273,632.95