Finding the Third Proportional to 120,992 and 181,608

Step by Step Solution

1. Step 1: Write the proportion equation
   120,992 : 181,608 = 181,608 : x
2. Step 2: Convert to fraction form
   120,992/181,608 = 181,608/x
3. Step 3: Cross multiply
   120,992x = 181,608 × 181,608
4. Step 4: Simplify right side
   120,992x = 32,981,465,664
5. Step 5: Solve for x
   x = 32,981,465,664/120,992
6. Step 6: Final answer
   x = 272,592.12