Finding the Third Proportional to 111,334 and 164,911

Step by Step Solution

1. Step 1: Write the proportion equation
   111,334 : 164,911 = 164,911 : x
2. Step 2: Convert to fraction form
   111,334/164,911 = 164,911/x
3. Step 3: Cross multiply
   111,334x = 164,911 × 164,911
4. Step 4: Simplify right side
   111,334x = 27,195,637,921
5. Step 5: Solve for x
   x = 27,195,637,921/111,334
6. Step 6: Final answer
   x = 244,270.73