Finding the Third Proportional to 109,219.50 and 146,772

Step by Step Solution

1. Step 1: Write the proportion equation
   109,219.50 : 146,772 = 146,772 : x
2. Step 2: Convert to fraction form
   109,219.50/146,772 = 146,772/x
3. Step 3: Cross multiply
   109,219.50x = 146,772 × 146,772
4. Step 4: Simplify right side
   109,219.50x = 21,542,019,984
5. Step 5: Solve for x
   x = 21,542,019,984/109,219.50
6. Step 6: Final answer
   x = 197,236.02