Finding the Third Proportional to 80,311 and 117,586.50

Step by Step Solution

1. Step 1: Write the proportion equation
   80,311 : 117,586.50 = 117,586.50 : x
2. Step 2: Convert to fraction form
   80,311/117,586.50 = 117,586.50/x
3. Step 3: Cross multiply
   80,311x = 117,586.50 × 117,586.50
4. Step 4: Simplify right side
   80,311x = 13,826,584,982.25
5. Step 5: Solve for x
   x = 13,826,584,982.25/80,311
6. Step 6: Final answer
   x = 172,163.03