Finding the Third Proportional to 53,202 and 108,834

Step by Step Solution

1. Step 1: Write the proportion equation
   53,202 : 108,834 = 108,834 : x
2. Step 2: Convert to fraction form
   53,202/108,834 = 108,834/x
3. Step 3: Cross multiply
   53,202x = 108,834 × 108,834
4. Step 4: Simplify right side
   53,202x = 11,844,839,556
5. Step 5: Solve for x
   x = 11,844,839,556/53,202
6. Step 6: Final answer
   x = 222,638.99