Finding the Third Proportional to 108,178 and 166,380

Step by Step Solution

1. Step 1: Write the proportion equation
   108,178 : 166,380 = 166,380 : x
2. Step 2: Convert to fraction form
   108,178/166,380 = 166,380/x
3. Step 3: Cross multiply
   108,178x = 166,380 × 166,380
4. Step 4: Simplify right side
   108,178x = 27,682,304,400
5. Step 5: Solve for x
   x = 27,682,304,400/108,178
6. Step 6: Final answer
   x = 255,895.88