Finding the Third Proportional to 109.31 and 146.63

Step by Step Solution

1. Step 1: Write the proportion equation
   109.31 : 146.63 = 146.63 : x
2. Step 2: Convert to fraction form
   109.31/146.63 = 146.63/x
3. Step 3: Cross multiply
   109.31x = 146.63 × 146.63
4. Step 4: Simplify right side
   109.31x = 21,498.89
5. Step 5: Solve for x
   x = 21,498.89/109.31
6. Step 6: Final answer
   x = 196.67