Finding the Third Proportional to 85,985 and 132,866

Step by Step Solution

1. Step 1: Write the proportion equation
   85,985 : 132,866 = 132,866 : x
2. Step 2: Convert to fraction form
   85,985/132,866 = 132,866/x
3. Step 3: Cross multiply
   85,985x = 132,866 × 132,866
4. Step 4: Simplify right side
   85,985x = 17,653,373,956
5. Step 5: Solve for x
   x = 17,653,373,956/85,985
6. Step 6: Final answer
   x = 205,307.60