Finding the Third Proportional to 120,162.75 and 181,164.38

Step by Step Solution

1. Step 1: Write the proportion equation
   120,162.75 : 181,164.38 = 181,164.38 : x
2. Step 2: Convert to fraction form
   120,162.75/181,164.38 = 181,164.38/x
3. Step 3: Cross multiply
   120,162.75x = 181,164.38 × 181,164.38
4. Step 4: Simplify right side
   120,162.75x = 32,820,530,769.14
5. Step 5: Solve for x
   x = 32,820,530,769.14/120,162.75
6. Step 6: Final answer
   x = 273,133.99