Finding the Third Proportional to 85,980 and 132,858

Step by Step Solution

1. Step 1: Write the proportion equation
   85,980 : 132,858 = 132,858 : x
2. Step 2: Convert to fraction form
   85,980/132,858 = 132,858/x
3. Step 3: Cross multiply
   85,980x = 132,858 × 132,858
4. Step 4: Simplify right side
   85,980x = 17,651,248,164
5. Step 5: Solve for x
   x = 17,651,248,164/85,980
6. Step 6: Final answer
   x = 205,294.81