Finding the Third Proportional to 259,362 and 563,004

Step by Step Solution

1. Step 1: Write the proportion equation
   259,362 : 563,004 = 563,004 : x
2. Step 2: Convert to fraction form
   259,362/563,004 = 563,004/x
3. Step 3: Cross multiply
   259,362x = 563,004 × 563,004
4. Step 4: Simplify right side
   259,362x = 316,973,504,016
5. Step 5: Solve for x
   x = 316,973,504,016/259,362
6. Step 6: Final answer
   x = 1,222,127.78