Finding the Third Proportional to 59,008 and 126,116

Step by Step Solution

1. Step 1: Write the proportion equation
   59,008 : 126,116 = 126,116 : x
2. Step 2: Convert to fraction form
   59,008/126,116 = 126,116/x
3. Step 3: Cross multiply
   59,008x = 126,116 × 126,116
4. Step 4: Simplify right side
   59,008x = 15,905,245,456
5. Step 5: Solve for x
   x = 15,905,245,456/59,008
6. Step 6: Final answer
   x = 269,543.88