Finding the Third Proportional to 53,804 and 109,794

Step by Step Solution

1. Step 1: Write the proportion equation
   53,804 : 109,794 = 109,794 : x
2. Step 2: Convert to fraction form
   53,804/109,794 = 109,794/x
3. Step 3: Cross multiply
   53,804x = 109,794 × 109,794
4. Step 4: Simplify right side
   53,804x = 12,054,722,436
5. Step 5: Solve for x
   x = 12,054,722,436/53,804
6. Step 6: Final answer
   x = 224,048.81