Finding the Third Proportional to 258,255 and 559,404

Step by Step Solution

1. Step 1: Write the proportion equation
   258,255 : 559,404 = 559,404 : x
2. Step 2: Convert to fraction form
   258,255/559,404 = 559,404/x
3. Step 3: Cross multiply
   258,255x = 559,404 × 559,404
4. Step 4: Simplify right side
   258,255x = 312,932,835,216
5. Step 5: Solve for x
   x = 312,932,835,216/258,255
6. Step 6: Final answer
   x = 1,211,720.34