Finding the Third Proportional to 81,869 and 126,799.50

Step by Step Solution

1. Step 1: Write the proportion equation
   81,869 : 126,799.50 = 126,799.50 : x
2. Step 2: Convert to fraction form
   81,869/126,799.50 = 126,799.50/x
3. Step 3: Cross multiply
   81,869x = 126,799.50 × 126,799.50
4. Step 4: Simplify right side
   81,869x = 16,078,113,200.25
5. Step 5: Solve for x
   x = 16,078,113,200.25/81,869
6. Step 6: Final answer
   x = 196,388.29