Finding the Third Proportional to 262,002 and 395,208

Step by Step Solution

1. Step 1: Write the proportion equation
   262,002 : 395,208 = 395,208 : x
2. Step 2: Convert to fraction form
   262,002/395,208 = 395,208/x
3. Step 3: Cross multiply
   262,002x = 395,208 × 395,208
4. Step 4: Simplify right side
   262,002x = 156,189,363,264
5. Step 5: Solve for x
   x = 156,189,363,264/262,002
6. Step 6: Final answer
   x = 596,138.06