Finding the Third Proportional to 126 and 168.25

Step by Step Solution

1. Step 1: Write the proportion equation
   126 : 168.25 = 168.25 : x
2. Step 2: Convert to fraction form
   126/168.25 = 168.25/x
3. Step 3: Cross multiply
   126x = 168.25 × 168.25
4. Step 4: Simplify right side
   126x = 28,308.06
5. Step 5: Solve for x
   x = 28,308.06/126
6. Step 6: Final answer
   x = 224.67