Finding the Third Proportional to 83,896 and 171,680

Step by Step Solution

1. Step 1: Write the proportion equation
   83,896 : 171,680 = 171,680 : x
2. Step 2: Convert to fraction form
   83,896/171,680 = 171,680/x
3. Step 3: Cross multiply
   83,896x = 171,680 × 171,680
4. Step 4: Simplify right side
   83,896x = 29,474,022,400
5. Step 5: Solve for x
   x = 29,474,022,400/83,896
6. Step 6: Final answer
   x = 351,316.18