Finding the Third Proportional to 105,480 and 228,384

Step by Step Solution

1. Step 1: Write the proportion equation
   105,480 : 228,384 = 228,384 : x
2. Step 2: Convert to fraction form
   105,480/228,384 = 228,384/x
3. Step 3: Cross multiply
   105,480x = 228,384 × 228,384
4. Step 4: Simplify right side
   105,480x = 52,159,251,456
5. Step 5: Solve for x
   x = 52,159,251,456/105,480
6. Step 6: Final answer
   x = 494,494.23