Finding the Third Proportional to 263,854.69 and 514,585.69

Step by Step Solution

1. Step 1: Write the proportion equation
   263,854.69 : 514,585.69 = 514,585.69 : x
2. Step 2: Convert to fraction form
   263,854.69/514,585.69 = 514,585.69/x
3. Step 3: Cross multiply
   263,854.69x = 514,585.69 × 514,585.69
4. Step 4: Simplify right side
   263,854.69x = 264,798,429,779.85
5. Step 5: Solve for x
   x = 264,798,429,779.85/263,854.69
6. Step 6: Final answer
   x = 1,003,576.75