Finding the Third Proportional to 40,858 and 83,436

Step by Step Solution

1. Step 1: Write the proportion equation
   40,858 : 83,436 = 83,436 : x
2. Step 2: Convert to fraction form
   40,858/83,436 = 83,436/x
3. Step 3: Cross multiply
   40,858x = 83,436 × 83,436
4. Step 4: Simplify right side
   40,858x = 6,961,566,096
5. Step 5: Solve for x
   x = 6,961,566,096/40,858
6. Step 6: Final answer
   x = 170,384.41