Finding the Third Proportional to 269,194,888 and 584,332,665

Step by Step Solution

1. Step 1: Write the proportion equation
   269,194,888 : 584,332,665 = 584,332,665 : x
2. Step 2: Convert to fraction form
   269,194,888/584,332,665 = 584,332,665/x
3. Step 3: Cross multiply
   269,194,888x = 584,332,665 × 584,332,665
4. Step 4: Simplify right side
   269,194,888x = 341,444,663,386,002,240
5. Step 5: Solve for x
   x = 341,444,663,386,002,240/269,194,888
6. Step 6: Final answer
   x = 1,268,392,078.03