Finding the Third Proportional to 53,096 and 111,304

Step by Step Solution

1. Step 1: Write the proportion equation
   53,096 : 111,304 = 111,304 : x
2. Step 2: Convert to fraction form
   53,096/111,304 = 111,304/x
3. Step 3: Cross multiply
   53,096x = 111,304 × 111,304
4. Step 4: Simplify right side
   53,096x = 12,388,580,416
5. Step 5: Solve for x
   x = 12,388,580,416/53,096
6. Step 6: Final answer
   x = 233,324.18