Finding the Third Proportional to 106.25 and 153.31

Step by Step Solution

1. Step 1: Write the proportion equation
   106.25 : 153.31 = 153.31 : x
2. Step 2: Convert to fraction form
   106.25/153.31 = 153.31/x
3. Step 3: Cross multiply
   106.25x = 153.31 × 153.31
4. Step 4: Simplify right side
   106.25x = 23,504.72
5. Step 5: Solve for x
   x = 23,504.72/106.25
6. Step 6: Final answer
   x = 221.22