Finding the Third Proportional to 171,096 and 255,180

Step by Step Solution

1. Step 1: Write the proportion equation
   171,096 : 255,180 = 255,180 : x
2. Step 2: Convert to fraction form
   171,096/255,180 = 255,180/x
3. Step 3: Cross multiply
   171,096x = 255,180 × 255,180
4. Step 4: Simplify right side
   171,096x = 65,116,832,400
5. Step 5: Solve for x
   x = 65,116,832,400/171,096
6. Step 6: Final answer
   x = 380,586.53