Finding the Third Proportional to 40,839 and 83,406

Step by Step Solution

1. Step 1: Write the proportion equation
   40,839 : 83,406 = 83,406 : x
2. Step 2: Convert to fraction form
   40,839/83,406 = 83,406/x
3. Step 3: Cross multiply
   40,839x = 83,406 × 83,406
4. Step 4: Simplify right side
   40,839x = 6,956,560,836
5. Step 5: Solve for x
   x = 6,956,560,836/40,839
6. Step 6: Final answer
   x = 170,341.12