Finding the Third Proportional to 85,847 and 188,096

Step by Step Solution

1. Step 1: Write the proportion equation
   85,847 : 188,096 = 188,096 : x
2. Step 2: Convert to fraction form
   85,847/188,096 = 188,096/x
3. Step 3: Cross multiply
   85,847x = 188,096 × 188,096
4. Step 4: Simplify right side
   85,847x = 35,380,105,216
5. Step 5: Solve for x
   x = 35,380,105,216/85,847
6. Step 6: Final answer
   x = 412,129.78