Finding the Third Proportional to 259,404 and 558,834

Step by Step Solution

1. Step 1: Write the proportion equation
   259,404 : 558,834 = 558,834 : x
2. Step 2: Convert to fraction form
   259,404/558,834 = 558,834/x
3. Step 3: Cross multiply
   259,404x = 558,834 × 558,834
4. Step 4: Simplify right side
   259,404x = 312,295,439,556
5. Step 5: Solve for x
   x = 312,295,439,556/259,404
6. Step 6: Final answer
   x = 1,203,896.01