Finding the Third Proportional to 108.56 and 148.31

Step by Step Solution

1. Step 1: Write the proportion equation
   108.56 : 148.31 = 148.31 : x
2. Step 2: Convert to fraction form
   108.56/148.31 = 148.31/x
3. Step 3: Cross multiply
   108.56x = 148.31 × 148.31
4. Step 4: Simplify right side
   108.56x = 21,996.60
5. Step 5: Solve for x
   x = 21,996.60/108.56
6. Step 6: Final answer
   x = 202.62