Finding the Third Proportional to 59,200 and 126,824

Step by Step Solution

1. Step 1: Write the proportion equation
   59,200 : 126,824 = 126,824 : x
2. Step 2: Convert to fraction form
   59,200/126,824 = 126,824/x
3. Step 3: Cross multiply
   59,200x = 126,824 × 126,824
4. Step 4: Simplify right side
   59,200x = 16,084,326,976
5. Step 5: Solve for x
   x = 16,084,326,976/59,200
6. Step 6: Final answer
   x = 271,694.71