Finding the Third Proportional to 82,333 and 171,127

Step by Step Solution

1. Step 1: Write the proportion equation
   82,333 : 171,127 = 171,127 : x
2. Step 2: Convert to fraction form
   82,333/171,127 = 171,127/x
3. Step 3: Cross multiply
   82,333x = 171,127 × 171,127
4. Step 4: Simplify right side
   82,333x = 29,284,450,129
5. Step 5: Solve for x
   x = 29,284,450,129/82,333
6. Step 6: Final answer
   x = 355,683.02