Finding the Third Proportional to 85,852 and 131,328.50

Step by Step Solution

1. Step 1: Write the proportion equation
   85,852 : 131,328.50 = 131,328.50 : x
2. Step 2: Convert to fraction form
   85,852/131,328.50 = 131,328.50/x
3. Step 3: Cross multiply
   85,852x = 131,328.50 × 131,328.50
4. Step 4: Simplify right side
   85,852x = 17,247,174,912.25
5. Step 5: Solve for x
   x = 17,247,174,912.25/85,852
6. Step 6: Final answer
   x = 200,894.27