Finding the Third Proportional to 109,218 and 146,766

Step by Step Solution

1. Step 1: Write the proportion equation
   109,218 : 146,766 = 146,766 : x
2. Step 2: Convert to fraction form
   109,218/146,766 = 146,766/x
3. Step 3: Cross multiply
   109,218x = 146,766 × 146,766
4. Step 4: Simplify right side
   109,218x = 21,540,258,756
5. Step 5: Solve for x
   x = 21,540,258,756/109,218
6. Step 6: Final answer
   x = 197,222.61