Finding the Third Proportional to 80,199 and 125,896.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,199 : 125,896.50 = 125,896.50 : x
2. Step 2: Convert to fraction form
   80,199/125,896.50 = 125,896.50/x
3. Step 3: Cross multiply
   80,199x = 125,896.50 × 125,896.50
4. Step 4: Simplify right side
   80,199x = 15,849,928,712.25
5. Step 5: Solve for x
   x = 15,849,928,712.25/80,199
6. Step 6: Final answer
   x = 197,632.50