Finding the Third Proportional to 50,666 and 80,865

Step by Step Solution

1. Step 1: Write the proportion equation
   50,666 : 80,865 = 80,865 : x
2. Step 2: Convert to fraction form
   50,666/80,865 = 80,865/x
3. Step 3: Cross multiply
   50,666x = 80,865 × 80,865
4. Step 4: Simplify right side
   50,666x = 6,539,148,225
5. Step 5: Solve for x
   x = 6,539,148,225/50,666
6. Step 6: Final answer
   x = 129,063.83