Finding the Third Proportional to 262,003 and 565,843

Step by Step Solution

1. Step 1: Write the proportion equation
   262,003 : 565,843 = 565,843 : x
2. Step 2: Convert to fraction form
   262,003/565,843 = 565,843/x
3. Step 3: Cross multiply
   262,003x = 565,843 × 565,843
4. Step 4: Simplify right side
   262,003x = 320,178,300,649
5. Step 5: Solve for x
   x = 320,178,300,649/262,003
6. Step 6: Final answer
   x = 1,222,040.59