Finding the Third Proportional to 86,003 and 132,839

Step by Step Solution

1. Step 1: Write the proportion equation
   86,003 : 132,839 = 132,839 : x
2. Step 2: Convert to fraction form
   86,003/132,839 = 132,839/x
3. Step 3: Cross multiply
   86,003x = 132,839 × 132,839
4. Step 4: Simplify right side
   86,003x = 17,646,199,921
5. Step 5: Solve for x
   x = 17,646,199,921/86,003
6. Step 6: Final answer
   x = 205,181.21