Finding the Third Proportional to 256,005.56 and 557,145

Step by Step Solution

1. Step 1: Write the proportion equation
   256,005.56 : 557,145 = 557,145 : x
2. Step 2: Convert to fraction form
   256,005.56/557,145 = 557,145/x
3. Step 3: Cross multiply
   256,005.56x = 557,145 × 557,145
4. Step 4: Simplify right side
   256,005.56x = 310,410,551,025
5. Step 5: Solve for x
   x = 310,410,551,025/256,005.56
6. Step 6: Final answer
   x = 1,212,514.87