Finding the Third Proportional to 85,957 and 132,823.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,957 : 132,823.50 = 132,823.50 : x
2. Step 2: Convert to fraction form
   85,957/132,823.50 = 132,823.50/x
3. Step 3: Cross multiply
   85,957x = 132,823.50 × 132,823.50
4. Step 4: Simplify right side
   85,957x = 17,642,082,152.25
5. Step 5: Solve for x
   x = 17,642,082,152.25/85,957
6. Step 6: Final answer
   x = 205,243.11