Finding the Third Proportional to 105,913 and 220,538

Step by Step Solution

1. Step 1: Write the proportion equation
   105,913 : 220,538 = 220,538 : x
2. Step 2: Convert to fraction form
   105,913/220,538 = 220,538/x
3. Step 3: Cross multiply
   105,913x = 220,538 × 220,538
4. Step 4: Simplify right side
   105,913x = 48,637,009,444
5. Step 5: Solve for x
   x = 48,637,009,444/105,913
6. Step 6: Final answer
   x = 459,216.62