Finding the Third Proportional to 38,180 and 80,648

Step by Step Solution

1. Step 1: Write the proportion equation
   38,180 : 80,648 = 80,648 : x
2. Step 2: Convert to fraction form
   38,180/80,648 = 80,648/x
3. Step 3: Cross multiply
   38,180x = 80,648 × 80,648
4. Step 4: Simplify right side
   38,180x = 6,504,099,904
5. Step 5: Solve for x
   x = 6,504,099,904/38,180
6. Step 6: Final answer
   x = 170,353.59