Finding the Third Proportional to 76,016 and 111,828

Step by Step Solution

1. Step 1: Write the proportion equation
   76,016 : 111,828 = 111,828 : x
2. Step 2: Convert to fraction form
   76,016/111,828 = 111,828/x
3. Step 3: Cross multiply
   76,016x = 111,828 × 111,828
4. Step 4: Simplify right side
   76,016x = 12,505,501,584
5. Step 5: Solve for x
   x = 12,505,501,584/76,016
6. Step 6: Final answer
   x = 164,511.44