Finding the Third Proportional to 279.88 and 411.94

Step by Step Solution

1. Step 1: Write the proportion equation
   279.88 : 411.94 = 411.94 : x
2. Step 2: Convert to fraction form
   279.88/411.94 = 411.94/x
3. Step 3: Cross multiply
   279.88x = 411.94 × 411.94
4. Step 4: Simplify right side
   279.88x = 169,692.50
5. Step 5: Solve for x
   x = 169,692.50/279.88
6. Step 6: Final answer
   x = 606.32