Finding the Third Proportional to 120,160 and 181,162

Step by Step Solution

1. Step 1: Write the proportion equation
   120,160 : 181,162 = 181,162 : x
2. Step 2: Convert to fraction form
   120,160/181,162 = 181,162/x
3. Step 3: Cross multiply
   120,160x = 181,162 × 181,162
4. Step 4: Simplify right side
   120,160x = 32,819,670,244
5. Step 5: Solve for x
   x = 32,819,670,244/120,160
6. Step 6: Final answer
   x = 273,133.07