Finding the Third Proportional to 119,256 and 161,388

Step by Step Solution

1. Step 1: Write the proportion equation
   119,256 : 161,388 = 161,388 : x
2. Step 2: Convert to fraction form
   119,256/161,388 = 161,388/x
3. Step 3: Cross multiply
   119,256x = 161,388 × 161,388
4. Step 4: Simplify right side
   119,256x = 26,046,086,544
5. Step 5: Solve for x
   x = 26,046,086,544/119,256
6. Step 6: Final answer
   x = 218,404.83