Finding the Third Proportional to 86,540 and 126,406

Step by Step Solution

1. Step 1: Write the proportion equation
   86,540 : 126,406 = 126,406 : x
2. Step 2: Convert to fraction form
   86,540/126,406 = 126,406/x
3. Step 3: Cross multiply
   86,540x = 126,406 × 126,406
4. Step 4: Simplify right side
   86,540x = 15,978,476,836
5. Step 5: Solve for x
   x = 15,978,476,836/86,540
6. Step 6: Final answer
   x = 184,636.89