Finding the Third Proportional to 111,981 and 164,667

Step by Step Solution

1. Step 1: Write the proportion equation
   111,981 : 164,667 = 164,667 : x
2. Step 2: Convert to fraction form
   111,981/164,667 = 164,667/x
3. Step 3: Cross multiply
   111,981x = 164,667 × 164,667
4. Step 4: Simplify right side
   111,981x = 27,115,220,889
5. Step 5: Solve for x
   x = 27,115,220,889/111,981
6. Step 6: Final answer
   x = 242,141.26