Finding the Third Proportional to 262,548 and 575,928

Step by Step Solution

1. Step 1: Write the proportion equation
   262,548 : 575,928 = 575,928 : x
2. Step 2: Convert to fraction form
   262,548/575,928 = 575,928/x
3. Step 3: Cross multiply
   262,548x = 575,928 × 575,928
4. Step 4: Simplify right side
   262,548x = 331,693,061,184
5. Step 5: Solve for x
   x = 331,693,061,184/262,548
6. Step 6: Final answer
   x = 1,263,361.60