Finding the Third Proportional to 169.75 and 279.38

Step by Step Solution

1. Step 1: Write the proportion equation
   169.75 : 279.38 = 279.38 : x
2. Step 2: Convert to fraction form
   169.75/279.38 = 279.38/x
3. Step 3: Cross multiply
   169.75x = 279.38 × 279.38
4. Step 4: Simplify right side
   169.75x = 78,050.39
5. Step 5: Solve for x
   x = 78,050.39/169.75
6. Step 6: Final answer
   x = 459.80