Finding the Third Proportional to 83,070 and 171,018

Step by Step Solution

1. Step 1: Write the proportion equation
   83,070 : 171,018 = 171,018 : x
2. Step 2: Convert to fraction form
   83,070/171,018 = 171,018/x
3. Step 3: Cross multiply
   83,070x = 171,018 × 171,018
4. Step 4: Simplify right side
   83,070x = 29,247,156,324
5. Step 5: Solve for x
   x = 29,247,156,324/83,070
6. Step 6: Final answer
   x = 352,078.44