Finding the Third Proportional to 83,895 and 171,678

Step by Step Solution

1. Step 1: Write the proportion equation
   83,895 : 171,678 = 171,678 : x
2. Step 2: Convert to fraction form
   83,895/171,678 = 171,678/x
3. Step 3: Cross multiply
   83,895x = 171,678 × 171,678
4. Step 4: Simplify right side
   83,895x = 29,473,335,684
5. Step 5: Solve for x
   x = 29,473,335,684/83,895
6. Step 6: Final answer
   x = 351,312.18