Finding the Third Proportional to 86,186 and 132,914

Step by Step Solution

1. Step 1: Write the proportion equation
   86,186 : 132,914 = 132,914 : x
2. Step 2: Convert to fraction form
   86,186/132,914 = 132,914/x
3. Step 3: Cross multiply
   86,186x = 132,914 × 132,914
4. Step 4: Simplify right side
   86,186x = 17,666,131,396
5. Step 5: Solve for x
   x = 17,666,131,396/86,186
6. Step 6: Final answer
   x = 204,976.81