Finding the Third Proportional to 109,258 and 164,886

Step by Step Solution

1. Step 1: Write the proportion equation
   109,258 : 164,886 = 164,886 : x
2. Step 2: Convert to fraction form
   109,258/164,886 = 164,886/x
3. Step 3: Cross multiply
   109,258x = 164,886 × 164,886
4. Step 4: Simplify right side
   109,258x = 27,187,392,996
5. Step 5: Solve for x
   x = 27,187,392,996/109,258
6. Step 6: Final answer
   x = 248,836.63