Finding the Third Proportional to 107,082 and 166,551.75

Step by Step Solution

1. Step 1: Write the proportion equation
   107,082 : 166,551.75 = 166,551.75 : x
2. Step 2: Convert to fraction form
   107,082/166,551.75 = 166,551.75/x
3. Step 3: Cross multiply
   107,082x = 166,551.75 × 166,551.75
4. Step 4: Simplify right side
   107,082x = 27,739,485,428.06
5. Step 5: Solve for x
   x = 27,739,485,428.06/107,082
6. Step 6: Final answer
   x = 259,049.00