Finding the Third Proportional to 59,208 and 126,084

Step by Step Solution

1. Step 1: Write the proportion equation
   59,208 : 126,084 = 126,084 : x
2. Step 2: Convert to fraction form
   59,208/126,084 = 126,084/x
3. Step 3: Cross multiply
   59,208x = 126,084 × 126,084
4. Step 4: Simplify right side
   59,208x = 15,897,175,056
5. Step 5: Solve for x
   x = 15,897,175,056/59,208
6. Step 6: Final answer
   x = 268,497.08