Finding the Third Proportional to 81,999 and 109,660.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,999 : 109,660.50 = 109,660.50 : x
2. Step 2: Convert to fraction form
   81,999/109,660.50 = 109,660.50/x
3. Step 3: Cross multiply
   81,999x = 109,660.50 × 109,660.50
4. Step 4: Simplify right side
   81,999x = 12,025,425,260.25
5. Step 5: Solve for x
   x = 12,025,425,260.25/81,999
6. Step 6: Final answer
   x = 146,653.32