Finding the Third Proportional to 269,218,964 and 585,607,870

Step by Step Solution

1. Step 1: Write the proportion equation
   269,218,964 : 585,607,870 = 585,607,870 : x
2. Step 2: Convert to fraction form
   269,218,964/585,607,870 = 585,607,870/x
3. Step 3: Cross multiply
   269,218,964x = 585,607,870 × 585,607,870
4. Step 4: Simplify right side
   269,218,964x = 342,936,577,405,936,896
5. Step 5: Solve for x
   x = 342,936,577,405,936,896/269,218,964
6. Step 6: Final answer
   x = 1,273,820,284.84