Finding the Third Proportional to 82,278 and 171,022

Step by Step Solution

1. Step 1: Write the proportion equation
   82,278 : 171,022 = 171,022 : x
2. Step 2: Convert to fraction form
   82,278/171,022 = 171,022/x
3. Step 3: Cross multiply
   82,278x = 171,022 × 171,022
4. Step 4: Simplify right side
   82,278x = 29,248,524,484
5. Step 5: Solve for x
   x = 29,248,524,484/82,278
6. Step 6: Final answer
   x = 355,484.15