Finding the Third Proportional to 53,814 and 110,004

Step by Step Solution

1. Step 1: Write the proportion equation
   53,814 : 110,004 = 110,004 : x
2. Step 2: Convert to fraction form
   53,814/110,004 = 110,004/x
3. Step 3: Cross multiply
   53,814x = 110,004 × 110,004
4. Step 4: Simplify right side
   53,814x = 12,100,880,016
5. Step 5: Solve for x
   x = 12,100,880,016/53,814
6. Step 6: Final answer
   x = 224,864.91