Finding the Third Proportional to 85,997 and 132,830

Step by Step Solution

1. Step 1: Write the proportion equation
   85,997 : 132,830 = 132,830 : x
2. Step 2: Convert to fraction form
   85,997/132,830 = 132,830/x
3. Step 3: Cross multiply
   85,997x = 132,830 × 132,830
4. Step 4: Simplify right side
   85,997x = 17,643,808,900
5. Step 5: Solve for x
   x = 17,643,808,900/85,997
6. Step 6: Final answer
   x = 205,167.73