Finding the Third Proportional to 76,011 and 111,728

Step by Step Solution

1. Step 1: Write the proportion equation
   76,011 : 111,728 = 111,728 : x
2. Step 2: Convert to fraction form
   76,011/111,728 = 111,728/x
3. Step 3: Cross multiply
   76,011x = 111,728 × 111,728
4. Step 4: Simplify right side
   76,011x = 12,483,145,984
5. Step 5: Solve for x
   x = 12,483,145,984/76,011
6. Step 6: Final answer
   x = 164,228.15