Finding the Third Proportional to 256,756 and 554,107.25

Step by Step Solution

1. Step 1: Write the proportion equation
   256,756 : 554,107.25 = 554,107.25 : x
2. Step 2: Convert to fraction form
   256,756/554,107.25 = 554,107.25/x
3. Step 3: Cross multiply
   256,756x = 554,107.25 × 554,107.25
4. Step 4: Simplify right side
   256,756x = 307,034,844,502.56
5. Step 5: Solve for x
   x = 307,034,844,502.56/256,756
6. Step 6: Final answer
   x = 1,195,823.45