Finding the Third Proportional to 53,850 and 110,384

Step by Step Solution

1. Step 1: Write the proportion equation
   53,850 : 110,384 = 110,384 : x
2. Step 2: Convert to fraction form
   53,850/110,384 = 110,384/x
3. Step 3: Cross multiply
   53,850x = 110,384 × 110,384
4. Step 4: Simplify right side
   53,850x = 12,184,627,456
5. Step 5: Solve for x
   x = 12,184,627,456/53,850
6. Step 6: Final answer
   x = 226,269.78