Finding the Third Proportional to 50,589 and 109,282.50

Step by Step Solution

1. Step 1: Write the proportion equation
   50,589 : 109,282.50 = 109,282.50 : x
2. Step 2: Convert to fraction form
   50,589/109,282.50 = 109,282.50/x
3. Step 3: Cross multiply
   50,589x = 109,282.50 × 109,282.50
4. Step 4: Simplify right side
   50,589x = 11,942,664,806.25
5. Step 5: Solve for x
   x = 11,942,664,806.25/50,589
6. Step 6: Final answer
   x = 236,072.36