Finding the Third Proportional to 262,002 and 561,390

Step by Step Solution

1. Step 1: Write the proportion equation
   262,002 : 561,390 = 561,390 : x
2. Step 2: Convert to fraction form
   262,002/561,390 = 561,390/x
3. Step 3: Cross multiply
   262,002x = 561,390 × 561,390
4. Step 4: Simplify right side
   262,002x = 315,158,732,100
5. Step 5: Solve for x
   x = 315,158,732,100/262,002
6. Step 6: Final answer
   x = 1,202,886.74