Finding the Third Proportional to 262,013 and 561,410

Step by Step Solution

1. Step 1: Write the proportion equation
   262,013 : 561,410 = 561,410 : x
2. Step 2: Convert to fraction form
   262,013/561,410 = 561,410/x
3. Step 3: Cross multiply
   262,013x = 561,410 × 561,410
4. Step 4: Simplify right side
   262,013x = 315,181,188,100
5. Step 5: Solve for x
   x = 315,181,188,100/262,013
6. Step 6: Final answer
   x = 1,202,921.95