Finding the Third Proportional to 78,138 and 171,180

Step by Step Solution

1. Step 1: Write the proportion equation
   78,138 : 171,180 = 171,180 : x
2. Step 2: Convert to fraction form
   78,138/171,180 = 171,180/x
3. Step 3: Cross multiply
   78,138x = 171,180 × 171,180
4. Step 4: Simplify right side
   78,138x = 29,302,592,400
5. Step 5: Solve for x
   x = 29,302,592,400/78,138
6. Step 6: Final answer
   x = 375,010.78