Finding the Third Proportional to 53,018 and 109,727

Step by Step Solution

1. Step 1: Write the proportion equation
   53,018 : 109,727 = 109,727 : x
2. Step 2: Convert to fraction form
   53,018/109,727 = 109,727/x
3. Step 3: Cross multiply
   53,018x = 109,727 × 109,727
4. Step 4: Simplify right side
   53,018x = 12,040,014,529
5. Step 5: Solve for x
   x = 12,040,014,529/53,018
6. Step 6: Final answer
   x = 227,092.96