Finding the Third Proportional to 75,951 and 166,196.81

Step by Step Solution

1. Step 1: Write the proportion equation
   75,951 : 166,196.81 = 166,196.81 : x
2. Step 2: Convert to fraction form
   75,951/166,196.81 = 166,196.81/x
3. Step 3: Cross multiply
   75,951x = 166,196.81 × 166,196.81
4. Step 4: Simplify right side
   75,951x = 27,621,380,485.16
5. Step 5: Solve for x
   x = 27,621,380,485.16/75,951
6. Step 6: Final answer
   x = 363,673.69