Finding the Third Proportional to 109,198 and 146,738

Step by Step Solution

1. Step 1: Write the proportion equation
   109,198 : 146,738 = 146,738 : x
2. Step 2: Convert to fraction form
   109,198/146,738 = 146,738/x
3. Step 3: Cross multiply
   109,198x = 146,738 × 146,738
4. Step 4: Simplify right side
   109,198x = 21,532,040,644
5. Step 5: Solve for x
   x = 21,532,040,644/109,198
6. Step 6: Final answer
   x = 197,183.47