Finding the Third Proportional to 262,576 and 562,518

Step by Step Solution

1. Step 1: Write the proportion equation
   262,576 : 562,518 = 562,518 : x
2. Step 2: Convert to fraction form
   262,576/562,518 = 562,518/x
3. Step 3: Cross multiply
   262,576x = 562,518 × 562,518
4. Step 4: Simplify right side
   262,576x = 316,426,500,324
5. Step 5: Solve for x
   x = 316,426,500,324/262,576
6. Step 6: Final answer
   x = 1,205,085.39