Finding the Third Proportional to 109,256 and 164,660

Step by Step Solution

1. Step 1: Write the proportion equation
   109,256 : 164,660 = 164,660 : x
2. Step 2: Convert to fraction form
   109,256/164,660 = 164,660/x
3. Step 3: Cross multiply
   109,256x = 164,660 × 164,660
4. Step 4: Simplify right side
   109,256x = 27,112,915,600
5. Step 5: Solve for x
   x = 27,112,915,600/109,256
6. Step 6: Final answer
   x = 248,159.51