Finding the Third Proportional to 146.44 and 196.31

Step by Step Solution

1. Step 1: Write the proportion equation
   146.44 : 196.31 = 196.31 : x
2. Step 2: Convert to fraction form
   146.44/196.31 = 196.31/x
3. Step 3: Cross multiply
   146.44x = 196.31 × 196.31
4. Step 4: Simplify right side
   146.44x = 38,538.60
5. Step 5: Solve for x
   x = 38,538.60/146.44
6. Step 6: Final answer
   x = 263.17