Finding the Third Proportional to 78,227 and 166,150

Step by Step Solution

1. Step 1: Write the proportion equation
   78,227 : 166,150 = 166,150 : x
2. Step 2: Convert to fraction form
   78,227/166,150 = 166,150/x
3. Step 3: Cross multiply
   78,227x = 166,150 × 166,150
4. Step 4: Simplify right side
   78,227x = 27,605,822,500
5. Step 5: Solve for x
   x = 27,605,822,500/78,227
6. Step 6: Final answer
   x = 352,893.79