Finding the Third Proportional to 280,992 and 536,064

Step by Step Solution

1. Step 1: Write the proportion equation
   280,992 : 536,064 = 536,064 : x
2. Step 2: Convert to fraction form
   280,992/536,064 = 536,064/x
3. Step 3: Cross multiply
   280,992x = 536,064 × 536,064
4. Step 4: Simplify right side
   280,992x = 287,364,612,096
5. Step 5: Solve for x
   x = 287,364,612,096/280,992
6. Step 6: Final answer
   x = 1,022,678.98