Finding the Third Proportional to 168.38 and 411.94

Step by Step Solution

1. Step 1: Write the proportion equation
   168.38 : 411.94 = 411.94 : x
2. Step 2: Convert to fraction form
   168.38/411.94 = 411.94/x
3. Step 3: Cross multiply
   168.38x = 411.94 × 411.94
4. Step 4: Simplify right side
   168.38x = 169,692.50
5. Step 5: Solve for x
   x = 169,692.50/168.38
6. Step 6: Final answer
   x = 1,007.82