Finding the Third Proportional to 83,152 and 171,206

Step by Step Solution

1. Step 1: Write the proportion equation
   83,152 : 171,206 = 171,206 : x
2. Step 2: Convert to fraction form
   83,152/171,206 = 171,206/x
3. Step 3: Cross multiply
   83,152x = 171,206 × 171,206
4. Step 4: Simplify right side
   83,152x = 29,311,494,436
5. Step 5: Solve for x
   x = 29,311,494,436/83,152
6. Step 6: Final answer
   x = 352,504.98