Finding the Third Proportional to 265,744 and 388,384

Step by Step Solution

1. Step 1: Write the proportion equation
   265,744 : 388,384 = 388,384 : x
2. Step 2: Convert to fraction form
   265,744/388,384 = 388,384/x
3. Step 3: Cross multiply
   265,744x = 388,384 × 388,384
4. Step 4: Simplify right side
   265,744x = 150,842,131,456
5. Step 5: Solve for x
   x = 150,842,131,456/265,744
6. Step 6: Final answer
   x = 567,621.96