Finding the Third Proportional to 65,824 and 134,096

Step by Step Solution

1. Step 1: Write the proportion equation
   65,824 : 134,096 = 134,096 : x
2. Step 2: Convert to fraction form
   65,824/134,096 = 134,096/x
3. Step 3: Cross multiply
   65,824x = 134,096 × 134,096
4. Step 4: Simplify right side
   65,824x = 17,981,737,216
5. Step 5: Solve for x
   x = 17,981,737,216/65,824
6. Step 6: Final answer
   x = 273,179.04