Finding the Third Proportional to 53,811 and 109,812

Step by Step Solution

1. Step 1: Write the proportion equation
   53,811 : 109,812 = 109,812 : x
2. Step 2: Convert to fraction form
   53,811/109,812 = 109,812/x
3. Step 3: Cross multiply
   53,811x = 109,812 × 109,812
4. Step 4: Simplify right side
   53,811x = 12,058,675,344
5. Step 5: Solve for x
   x = 12,058,675,344/53,811
6. Step 6: Final answer
   x = 224,093.13