Finding the Third Proportional to 59,072 and 126,336

Step by Step Solution

1. Step 1: Write the proportion equation
   59,072 : 126,336 = 126,336 : x
2. Step 2: Convert to fraction form
   59,072/126,336 = 126,336/x
3. Step 3: Cross multiply
   59,072x = 126,336 × 126,336
4. Step 4: Simplify right side
   59,072x = 15,960,784,896
5. Step 5: Solve for x
   x = 15,960,784,896/59,072
6. Step 6: Final answer
   x = 270,192.05