Finding the Third Proportional to 248,978 and 533,456

Step by Step Solution

1. Step 1: Write the proportion equation
   248,978 : 533,456 = 533,456 : x
2. Step 2: Convert to fraction form
   248,978/533,456 = 533,456/x
3. Step 3: Cross multiply
   248,978x = 533,456 × 533,456
4. Step 4: Simplify right side
   248,978x = 284,575,303,936
5. Step 5: Solve for x
   x = 284,575,303,936/248,978
6. Step 6: Final answer
   x = 1,142,973.69