Finding the Third Proportional to 83,142 and 171,186

Step by Step Solution

1. Step 1: Write the proportion equation
   83,142 : 171,186 = 171,186 : x
2. Step 2: Convert to fraction form
   83,142/171,186 = 171,186/x
3. Step 3: Cross multiply
   83,142x = 171,186 × 171,186
4. Step 4: Simplify right side
   83,142x = 29,304,646,596
5. Step 5: Solve for x
   x = 29,304,646,596/83,142
6. Step 6: Final answer
   x = 352,465.02