Finding the Third Proportional to 86,009 and 132,902

Step by Step Solution

1. Step 1: Write the proportion equation
   86,009 : 132,902 = 132,902 : x
2. Step 2: Convert to fraction form
   86,009/132,902 = 132,902/x
3. Step 3: Cross multiply
   86,009x = 132,902 × 132,902
4. Step 4: Simplify right side
   86,009x = 17,662,941,604
5. Step 5: Solve for x
   x = 17,662,941,604/86,009
6. Step 6: Final answer
   x = 205,361.55