Finding the Third Proportional to 59,066 and 126,328

Step by Step Solution

1. Step 1: Write the proportion equation
   59,066 : 126,328 = 126,328 : x
2. Step 2: Convert to fraction form
   59,066/126,328 = 126,328/x
3. Step 3: Cross multiply
   59,066x = 126,328 × 126,328
4. Step 4: Simplify right side
   59,066x = 15,958,763,584
5. Step 5: Solve for x
   x = 15,958,763,584/59,066
6. Step 6: Final answer
   x = 270,185.28