Finding the Third Proportional to 82,869 and 126,711.50

Step by Step Solution

1. Step 1: Write the proportion equation
   82,869 : 126,711.50 = 126,711.50 : x
2. Step 2: Convert to fraction form
   82,869/126,711.50 = 126,711.50/x
3. Step 3: Cross multiply
   82,869x = 126,711.50 × 126,711.50
4. Step 4: Simplify right side
   82,869x = 16,055,804,232.25
5. Step 5: Solve for x
   x = 16,055,804,232.25/82,869
6. Step 6: Final answer
   x = 193,749.22