Finding the Third Proportional to 105,648 and 228,924

Step by Step Solution

1. Step 1: Write the proportion equation
   105,648 : 228,924 = 228,924 : x
2. Step 2: Convert to fraction form
   105,648/228,924 = 228,924/x
3. Step 3: Cross multiply
   105,648x = 228,924 × 228,924
4. Step 4: Simplify right side
   105,648x = 52,406,197,776
5. Step 5: Solve for x
   x = 52,406,197,776/105,648
6. Step 6: Final answer
   x = 496,045.34