Finding the Third Proportional to 518,724 and 759,384

Step by Step Solution

1. Step 1: Write the proportion equation
   518,724 : 759,384 = 759,384 : x
2. Step 2: Convert to fraction form
   518,724/759,384 = 759,384/x
3. Step 3: Cross multiply
   518,724x = 759,384 × 759,384
4. Step 4: Simplify right side
   518,724x = 576,664,059,456
5. Step 5: Solve for x
   x = 576,664,059,456/518,724
6. Step 6: Final answer
   x = 1,111,697.28