Finding the Third Proportional to 83,648 and 171,372

Step by Step Solution

1. Step 1: Write the proportion equation
   83,648 : 171,372 = 171,372 : x
2. Step 2: Convert to fraction form
   83,648/171,372 = 171,372/x
3. Step 3: Cross multiply
   83,648x = 171,372 × 171,372
4. Step 4: Simplify right side
   83,648x = 29,368,362,384
5. Step 5: Solve for x
   x = 29,368,362,384/83,648
6. Step 6: Final answer
   x = 351,094.62