Finding the Third Proportional to 269,218,458 and 585,606,456

Step by Step Solution

1. Step 1: Write the proportion equation
   269,218,458 : 585,606,456 = 585,606,456 : x
2. Step 2: Convert to fraction form
   269,218,458/585,606,456 = 585,606,456/x
3. Step 3: Cross multiply
   269,218,458x = 585,606,456 × 585,606,456
4. Step 4: Simplify right side
   269,218,458x = 342,934,921,308,879,936
5. Step 5: Solve for x
   x = 342,934,921,308,879,936/269,218,458
6. Step 6: Final answer
   x = 1,273,816,527.50