Finding the Third Proportional to 40,868 and 83,456

Step by Step Solution

1. Step 1: Write the proportion equation
   40,868 : 83,456 = 83,456 : x
2. Step 2: Convert to fraction form
   40,868/83,456 = 83,456/x
3. Step 3: Cross multiply
   40,868x = 83,456 × 83,456
4. Step 4: Simplify right side
   40,868x = 6,964,903,936
5. Step 5: Solve for x
   x = 6,964,903,936/40,868
6. Step 6: Final answer
   x = 170,424.39