Finding the Third Proportional to 106.25 and 225.32

Step by Step Solution

1. Step 1: Write the proportion equation
   106.25 : 225.32 = 225.32 : x
2. Step 2: Convert to fraction form
   106.25/225.32 = 225.32/x
3. Step 3: Cross multiply
   106.25x = 225.32 × 225.32
4. Step 4: Simplify right side
   106.25x = 50,769.46
5. Step 5: Solve for x
   x = 50,769.46/106.25
6. Step 6: Final answer
   x = 477.82