Finding the Third Proportional to 262,014 and 561,384

Step by Step Solution

1. Step 1: Write the proportion equation
   262,014 : 561,384 = 561,384 : x
2. Step 2: Convert to fraction form
   262,014/561,384 = 561,384/x
3. Step 3: Cross multiply
   262,014x = 561,384 × 561,384
4. Step 4: Simplify right side
   262,014x = 315,151,995,456
5. Step 5: Solve for x
   x = 315,151,995,456/262,014
6. Step 6: Final answer
   x = 1,202,805.94