Finding the Third Proportional to 53,684 and 108,808

Step by Step Solution

1. Step 1: Write the proportion equation
   53,684 : 108,808 = 108,808 : x
2. Step 2: Convert to fraction form
   53,684/108,808 = 108,808/x
3. Step 3: Cross multiply
   53,684x = 108,808 × 108,808
4. Step 4: Simplify right side
   53,684x = 11,839,180,864
5. Step 5: Solve for x
   x = 11,839,180,864/53,684
6. Step 6: Final answer
   x = 220,534.63