Finding the Third Proportional to 80,848 and 164,008

Step by Step Solution

1. Step 1: Write the proportion equation
   80,848 : 164,008 = 164,008 : x
2. Step 2: Convert to fraction form
   80,848/164,008 = 164,008/x
3. Step 3: Cross multiply
   80,848x = 164,008 × 164,008
4. Step 4: Simplify right side
   80,848x = 26,898,624,064
5. Step 5: Solve for x
   x = 26,898,624,064/80,848
6. Step 6: Final answer
   x = 332,706.12