Finding the Third Proportional to 261,582 and 582,384

Step by Step Solution

1. Step 1: Write the proportion equation
   261,582 : 582,384 = 582,384 : x
2. Step 2: Convert to fraction form
   261,582/582,384 = 582,384/x
3. Step 3: Cross multiply
   261,582x = 582,384 × 582,384
4. Step 4: Simplify right side
   261,582x = 339,171,123,456
5. Step 5: Solve for x
   x = 339,171,123,456/261,582
6. Step 6: Final answer
   x = 1,296,614.92