Finding the Third Proportional to 168.56 and 254.34

Step by Step Solution

1. Step 1: Write the proportion equation
   168.56 : 254.34 = 254.34 : x
2. Step 2: Convert to fraction form
   168.56/254.34 = 254.34/x
3. Step 3: Cross multiply
   168.56x = 254.34 × 254.34
4. Step 4: Simplify right side
   168.56x = 64,690.74
5. Step 5: Solve for x
   x = 64,690.74/168.56
6. Step 6: Final answer
   x = 383.78