Finding the Third Proportional to 109,206 and 164,578

Step by Step Solution

1. Step 1: Write the proportion equation
   109,206 : 164,578 = 164,578 : x
2. Step 2: Convert to fraction form
   109,206/164,578 = 164,578/x
3. Step 3: Cross multiply
   109,206x = 164,578 × 164,578
4. Step 4: Simplify right side
   109,206x = 27,085,918,084
5. Step 5: Solve for x
   x = 27,085,918,084/109,206
6. Step 6: Final answer
   x = 248,025.92