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

Step by Step Solution

1. Step 1: Write the proportion equation
   48,456 : 105,192 = 105,192 : x
2. Step 2: Convert to fraction form
   48,456/105,192 = 105,192/x
3. Step 3: Cross multiply
   48,456x = 105,192 × 105,192
4. Step 4: Simplify right side
   48,456x = 11,065,356,864
5. Step 5: Solve for x
   x = 11,065,356,864/48,456
6. Step 6: Final answer
   x = 228,358.86