Finding the Third Proportional to 109,274 and 164,680

Step by Step Solution

1. Step 1: Write the proportion equation
   109,274 : 164,680 = 164,680 : x
2. Step 2: Convert to fraction form
   109,274/164,680 = 164,680/x
3. Step 3: Cross multiply
   109,274x = 164,680 × 164,680
4. Step 4: Simplify right side
   109,274x = 27,119,502,400
5. Step 5: Solve for x
   x = 27,119,502,400/109,274
6. Step 6: Final answer
   x = 248,178.91