Finding the Third Proportional to 48,192 and 105,456

Step by Step Solution

1. Step 1: Write the proportion equation
   48,192 : 105,456 = 105,456 : x
2. Step 2: Convert to fraction form
   48,192/105,456 = 105,456/x
3. Step 3: Cross multiply
   48,192x = 105,456 × 105,456
4. Step 4: Simplify right side
   48,192x = 11,120,967,936
5. Step 5: Solve for x
   x = 11,120,967,936/48,192
6. Step 6: Final answer
   x = 230,763.78