Finding the Third Proportional to 168.01 and 216.42

Step by Step Solution

1. Step 1: Write the proportion equation
   168.01 : 216.42 = 216.42 : x
2. Step 2: Convert to fraction form
   168.01/216.42 = 216.42/x
3. Step 3: Cross multiply
   168.01x = 216.42 × 216.42
4. Step 4: Simplify right side
   168.01x = 46,838.43
5. Step 5: Solve for x
   x = 46,838.43/168.01
6. Step 6: Final answer
   x = 278.78