Finding the Third Proportional to 262,947 and 575,648

Step by Step Solution

1. Step 1: Write the proportion equation
   262,947 : 575,648 = 575,648 : x
2. Step 2: Convert to fraction form
   262,947/575,648 = 575,648/x
3. Step 3: Cross multiply
   262,947x = 575,648 × 575,648
4. Step 4: Simplify right side
   262,947x = 331,370,619,904
5. Step 5: Solve for x
   x = 331,370,619,904/262,947
6. Step 6: Final answer
   x = 1,260,218.29