Finding the Third Proportional to 511,805,664 and 1,105,164,320

Step by Step Solution

1. Step 1: Write the proportion equation
   511,805,664 : 1,105,164,320 = 1,105,164,320 : x
2. Step 2: Convert to fraction form
   511,805,664/1,105,164,320 = 1,105,164,320/x
3. Step 3: Cross multiply
   511,805,664x = 1,105,164,320 × 1,105,164,320
4. Step 4: Simplify right side
   511,805,664x = 1,221,388,174,201,062,400
5. Step 5: Solve for x
   x = 1,221,388,174,201,062,400/511,805,664
6. Step 6: Final answer
   x = 2,386,429,576.91