Finding the Third Proportional to 53,588 and 108,636

Step by Step Solution

1. Step 1: Write the proportion equation
   53,588 : 108,636 = 108,636 : x
2. Step 2: Convert to fraction form
   53,588/108,636 = 108,636/x
3. Step 3: Cross multiply
   53,588x = 108,636 × 108,636
4. Step 4: Simplify right side
   53,588x = 11,801,780,496
5. Step 5: Solve for x
   x = 11,801,780,496/53,588
6. Step 6: Final answer
   x = 220,231.78