Finding the Third Proportional to 83,847 and 123,096

Step by Step Solution

1. Step 1: Write the proportion equation
   83,847 : 123,096 = 123,096 : x
2. Step 2: Convert to fraction form
   83,847/123,096 = 123,096/x
3. Step 3: Cross multiply
   83,847x = 123,096 × 123,096
4. Step 4: Simplify right side
   83,847x = 15,152,625,216
5. Step 5: Solve for x
   x = 15,152,625,216/83,847
6. Step 6: Final answer
   x = 180,717.56