Finding the Third Proportional to 80,591 and 113,290.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,591 : 113,290.50 = 113,290.50 : x
2. Step 2: Convert to fraction form
   80,591/113,290.50 = 113,290.50/x
3. Step 3: Cross multiply
   80,591x = 113,290.50 × 113,290.50
4. Step 4: Simplify right side
   80,591x = 12,834,737,390.25
5. Step 5: Solve for x
   x = 12,834,737,390.25/80,591
6. Step 6: Final answer
   x = 159,257.70