Finding the Third Proportional to 262,946 and 575,648

Step by Step Solution

1. Step 1: Write the proportion equation
   262,946 : 575,648 = 575,648 : x
2. Step 2: Convert to fraction form
   262,946/575,648 = 575,648/x
3. Step 3: Cross multiply
   262,946x = 575,648 × 575,648
4. Step 4: Simplify right side
   262,946x = 331,370,619,904
5. Step 5: Solve for x
   x = 331,370,619,904/262,946
6. Step 6: Final answer
   x = 1,260,223.09