Finding the Third Proportional to 279.78 and 610.82

Step by Step Solution

1. Step 1: Write the proportion equation
   279.78 : 610.82 = 610.82 : x
2. Step 2: Convert to fraction form
   279.78/610.82 = 610.82/x
3. Step 3: Cross multiply
   279.78x = 610.82 × 610.82
4. Step 4: Simplify right side
   279.78x = 373,103.84
5. Step 5: Solve for x
   x = 373,103.84/279.78
6. Step 6: Final answer
   x = 1,333.55