Finding the Third Proportional to 80,589 and 113,287.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,589 : 113,287.50 = 113,287.50 : x
2. Step 2: Convert to fraction form
   80,589/113,287.50 = 113,287.50/x
3. Step 3: Cross multiply
   80,589x = 113,287.50 × 113,287.50
4. Step 4: Simplify right side
   80,589x = 12,834,057,656.25
5. Step 5: Solve for x
   x = 12,834,057,656.25/80,589
6. Step 6: Final answer
   x = 159,253.22