Finding the Third Proportional to 108,256 and 166,492

Step by Step Solution

1. Step 1: Write the proportion equation
   108,256 : 166,492 = 166,492 : x
2. Step 2: Convert to fraction form
   108,256/166,492 = 166,492/x
3. Step 3: Cross multiply
   108,256x = 166,492 × 166,492
4. Step 4: Simplify right side
   108,256x = 27,719,586,064
5. Step 5: Solve for x
   x = 27,719,586,064/108,256
6. Step 6: Final answer
   x = 256,055.89