Finding the Third Proportional to 81,708 and 126,222

Step by Step Solution

1. Step 1: Write the proportion equation
   81,708 : 126,222 = 126,222 : x
2. Step 2: Convert to fraction form
   81,708/126,222 = 126,222/x
3. Step 3: Cross multiply
   81,708x = 126,222 × 126,222
4. Step 4: Simplify right side
   81,708x = 15,931,993,284
5. Step 5: Solve for x
   x = 15,931,993,284/81,708
6. Step 6: Final answer
   x = 194,986.94