Finding the Third Proportional to 253,966 and 557,774

Step by Step Solution

1. Step 1: Write the proportion equation
   253,966 : 557,774 = 557,774 : x
2. Step 2: Convert to fraction form
   253,966/557,774 = 557,774/x
3. Step 3: Cross multiply
   253,966x = 557,774 × 557,774
4. Step 4: Simplify right side
   253,966x = 311,111,835,076
5. Step 5: Solve for x
   x = 311,111,835,076/253,966
6. Step 6: Final answer
   x = 1,225,013.72