Finding the Third Proportional to 53,578 and 108,614

Step by Step Solution

1. Step 1: Write the proportion equation
   53,578 : 108,614 = 108,614 : x
2. Step 2: Convert to fraction form
   53,578/108,614 = 108,614/x
3. Step 3: Cross multiply
   53,578x = 108,614 × 108,614
4. Step 4: Simplify right side
   53,578x = 11,797,000,996
5. Step 5: Solve for x
   x = 11,797,000,996/53,578
6. Step 6: Final answer
   x = 220,183.68