Finding the Third Proportional to 109,304 and 164,960

Step by Step Solution

1. Step 1: Write the proportion equation
   109,304 : 164,960 = 164,960 : x
2. Step 2: Convert to fraction form
   109,304/164,960 = 164,960/x
3. Step 3: Cross multiply
   109,304x = 164,960 × 164,960
4. Step 4: Simplify right side
   109,304x = 27,211,801,600
5. Step 5: Solve for x
   x = 27,211,801,600/109,304
6. Step 6: Final answer
   x = 248,955.22