Finding the Third Proportional to 53,282 and 111,666

Step by Step Solution

1. Step 1: Write the proportion equation
   53,282 : 111,666 = 111,666 : x
2. Step 2: Convert to fraction form
   53,282/111,666 = 111,666/x
3. Step 3: Cross multiply
   53,282x = 111,666 × 111,666
4. Step 4: Simplify right side
   53,282x = 12,469,295,556
5. Step 5: Solve for x
   x = 12,469,295,556/53,282
6. Step 6: Final answer
   x = 234,024.54