Finding the Third Proportional to 53,228 and 116,180

Step by Step Solution

1. Step 1: Write the proportion equation
   53,228 : 116,180 = 116,180 : x
2. Step 2: Convert to fraction form
   53,228/116,180 = 116,180/x
3. Step 3: Cross multiply
   53,228x = 116,180 × 116,180
4. Step 4: Simplify right side
   53,228x = 13,497,792,400
5. Step 5: Solve for x
   x = 13,497,792,400/53,228
6. Step 6: Final answer
   x = 253,584.44