Finding the Third Proportional to 80,471 and 120,166

Step by Step Solution

1. Step 1: Write the proportion equation
   80,471 : 120,166 = 120,166 : x
2. Step 2: Convert to fraction form
   80,471/120,166 = 120,166/x
3. Step 3: Cross multiply
   80,471x = 120,166 × 120,166
4. Step 4: Simplify right side
   80,471x = 14,439,867,556
5. Step 5: Solve for x
   x = 14,439,867,556/80,471
6. Step 6: Final answer
   x = 179,441.88