Finding the Third Proportional to 50,869 and 78,859.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,869 : 78,859.50 = 78,859.50 : x
2. Step 2: Convert to fraction form
   50,869/78,859.50 = 78,859.50/x
3. Step 3: Cross multiply
   50,869x = 78,859.50 × 78,859.50
4. Step 4: Simplify right side
   50,869x = 6,218,820,740.25
5. Step 5: Solve for x
   x = 6,218,820,740.25/50,869
6. Step 6: Final answer
   x = 122,251.68