Finding the Third Proportional to 86,002 and 132,835

Step by Step Solution

1. Step 1: Write the proportion equation
   86,002 : 132,835 = 132,835 : x
2. Step 2: Convert to fraction form
   86,002/132,835 = 132,835/x
3. Step 3: Cross multiply
   86,002x = 132,835 × 132,835
4. Step 4: Simplify right side
   86,002x = 17,645,137,225
5. Step 5: Solve for x
   x = 17,645,137,225/86,002
6. Step 6: Final answer
   x = 205,171.24