Finding the Third Proportional to 262,883 and 574,414

Step by Step Solution

1. Step 1: Write the proportion equation
   262,883 : 574,414 = 574,414 : x
2. Step 2: Convert to fraction form
   262,883/574,414 = 574,414/x
3. Step 3: Cross multiply
   262,883x = 574,414 × 574,414
4. Step 4: Simplify right side
   262,883x = 329,951,443,396
5. Step 5: Solve for x
   x = 329,951,443,396/262,883
6. Step 6: Final answer
   x = 1,255,126.59