Finding the Third Proportional to 59,203 and 126,830

Step by Step Solution

1. Step 1: Write the proportion equation
   59,203 : 126,830 = 126,830 : x
2. Step 2: Convert to fraction form
   59,203/126,830 = 126,830/x
3. Step 3: Cross multiply
   59,203x = 126,830 × 126,830
4. Step 4: Simplify right side
   59,203x = 16,085,848,900
5. Step 5: Solve for x
   x = 16,085,848,900/59,203
6. Step 6: Final answer
   x = 271,706.65