Finding the Third Proportional to 109,224 and 146,800.50

Step by Step Solution

1. Step 1: Write the proportion equation
   109,224 : 146,800.50 = 146,800.50 : x
2. Step 2: Convert to fraction form
   109,224/146,800.50 = 146,800.50/x
3. Step 3: Cross multiply
   109,224x = 146,800.50 × 146,800.50
4. Step 4: Simplify right side
   109,224x = 21,550,386,800.25
5. Step 5: Solve for x
   x = 21,550,386,800.25/109,224
6. Step 6: Final answer
   x = 197,304.50