Finding the Third Proportional to 262,458 and 557,724

Step by Step Solution

1. Step 1: Write the proportion equation
   262,458 : 557,724 = 557,724 : x
2. Step 2: Convert to fraction form
   262,458/557,724 = 557,724/x
3. Step 3: Cross multiply
   262,458x = 557,724 × 557,724
4. Step 4: Simplify right side
   262,458x = 311,056,060,176
5. Step 5: Solve for x
   x = 311,056,060,176/262,458
6. Step 6: Final answer
   x = 1,185,165.09