Finding the Third Proportional to 51,968 and 114,304

Step by Step Solution

1. Step 1: Write the proportion equation
   51,968 : 114,304 = 114,304 : x
2. Step 2: Convert to fraction form
   51,968/114,304 = 114,304/x
3. Step 3: Cross multiply
   51,968x = 114,304 × 114,304
4. Step 4: Simplify right side
   51,968x = 13,065,404,416
5. Step 5: Solve for x
   x = 13,065,404,416/51,968
6. Step 6: Final answer
   x = 251,412.49