Finding the Third Proportional to 50,869 and 77,167.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,869 : 77,167.50 = 77,167.50 : x
2. Step 2: Convert to fraction form
   50,869/77,167.50 = 77,167.50/x
3. Step 3: Cross multiply
   50,869x = 77,167.50 × 77,167.50
4. Step 4: Simplify right side
   50,869x = 5,954,823,056.25
5. Step 5: Solve for x
   x = 5,954,823,056.25/50,869
6. Step 6: Final answer
   x = 117,061.92