Finding the Third Proportional to 59,122 and 126,556

Step by Step Solution

1. Step 1: Write the proportion equation
   59,122 : 126,556 = 126,556 : x
2. Step 2: Convert to fraction form
   59,122/126,556 = 126,556/x
3. Step 3: Cross multiply
   59,122x = 126,556 × 126,556
4. Step 4: Simplify right side
   59,122x = 16,016,421,136
5. Step 5: Solve for x
   x = 16,016,421,136/59,122
6. Step 6: Final answer
   x = 270,904.59