Finding the Third Proportional to 78,084 and 171,072

Step by Step Solution

1. Step 1: Write the proportion equation
   78,084 : 171,072 = 171,072 : x
2. Step 2: Convert to fraction form
   78,084/171,072 = 171,072/x
3. Step 3: Cross multiply
   78,084x = 171,072 × 171,072
4. Step 4: Simplify right side
   78,084x = 29,265,629,184
5. Step 5: Solve for x
   x = 29,265,629,184/78,084
6. Step 6: Final answer
   x = 374,796.75