Finding the Third Proportional to 105,768 and 228,952

Step by Step Solution

1. Step 1: Write the proportion equation
   105,768 : 228,952 = 228,952 : x
2. Step 2: Convert to fraction form
   105,768/228,952 = 228,952/x
3. Step 3: Cross multiply
   105,768x = 228,952 × 228,952
4. Step 4: Simplify right side
   105,768x = 52,419,018,304
5. Step 5: Solve for x
   x = 52,419,018,304/105,768
6. Step 6: Final answer
   x = 495,603.76