Finding the Third Proportional to 53,952 and 114,304

Step by Step Solution

1. Step 1: Write the proportion equation
   53,952 : 114,304 = 114,304 : x
2. Step 2: Convert to fraction form
   53,952/114,304 = 114,304/x
3. Step 3: Cross multiply
   53,952x = 114,304 × 114,304
4. Step 4: Simplify right side
   53,952x = 13,065,404,416
5. Step 5: Solve for x
   x = 13,065,404,416/53,952
6. Step 6: Final answer
   x = 242,167.19