Finding the Third Proportional to 109,844 and 164,388

Step by Step Solution

1. Step 1: Write the proportion equation
   109,844 : 164,388 = 164,388 : x
2. Step 2: Convert to fraction form
   109,844/164,388 = 164,388/x
3. Step 3: Cross multiply
   109,844x = 164,388 × 164,388
4. Step 4: Simplify right side
   109,844x = 27,023,414,544
5. Step 5: Solve for x
   x = 27,023,414,544/109,844
6. Step 6: Final answer
   x = 246,016.30