Finding the Third Proportional to 69,342 and 111,666

Step by Step Solution

1. Step 1: Write the proportion equation
   69,342 : 111,666 = 111,666 : x
2. Step 2: Convert to fraction form
   69,342/111,666 = 111,666/x
3. Step 3: Cross multiply
   69,342x = 111,666 × 111,666
4. Step 4: Simplify right side
   69,342x = 12,469,295,556
5. Step 5: Solve for x
   x = 12,469,295,556/69,342
6. Step 6: Final answer
   x = 179,823.13