Finding the Third Proportional to 41,563.13 and 86,082.75

Step by Step Solution

1. Step 1: Write the proportion equation
   41,563.13 : 86,082.75 = 86,082.75 : x
2. Step 2: Convert to fraction form
   41,563.13/86,082.75 = 86,082.75/x
3. Step 3: Cross multiply
   41,563.13x = 86,082.75 × 86,082.75
4. Step 4: Simplify right side
   41,563.13x = 7,410,239,847.56
5. Step 5: Solve for x
   x = 7,410,239,847.56/41,563.13
6. Step 6: Final answer
   x = 178,288.80