Finding the Third Proportional to 168.54 and 253.02

Step by Step Solution

1. Step 1: Write the proportion equation
   168.54 : 253.02 = 253.02 : x
2. Step 2: Convert to fraction form
   168.54/253.02 = 253.02/x
3. Step 3: Cross multiply
   168.54x = 253.02 × 253.02
4. Step 4: Simplify right side
   168.54x = 64,018.88
5. Step 5: Solve for x
   x = 64,018.88/168.54
6. Step 6: Final answer
   x = 379.85