Finding the Third Proportional to 73,847 and 162,456

Step by Step Solution

1. Step 1: Write the proportion equation
   73,847 : 162,456 = 162,456 : x
2. Step 2: Convert to fraction form
   73,847/162,456 = 162,456/x
3. Step 3: Cross multiply
   73,847x = 162,456 × 162,456
4. Step 4: Simplify right side
   73,847x = 26,391,951,936
5. Step 5: Solve for x
   x = 26,391,951,936/73,847
6. Step 6: Final answer
   x = 357,386.92