Finding the Third Proportional to 262,290 and 561,978

Step by Step Solution

1. Step 1: Write the proportion equation
   262,290 : 561,978 = 561,978 : x
2. Step 2: Convert to fraction form
   262,290/561,978 = 561,978/x
3. Step 3: Cross multiply
   262,290x = 561,978 × 561,978
4. Step 4: Simplify right side
   262,290x = 315,819,272,484
5. Step 5: Solve for x
   x = 315,819,272,484/262,290
6. Step 6: Final answer
   x = 1,204,084.31