Finding the Third Proportional to 120,990 and 181,605

Step by Step Solution

1. Step 1: Write the proportion equation
   120,990 : 181,605 = 181,605 : x
2. Step 2: Convert to fraction form
   120,990/181,605 = 181,605/x
3. Step 3: Cross multiply
   120,990x = 181,605 × 181,605
4. Step 4: Simplify right side
   120,990x = 32,980,376,025
5. Step 5: Solve for x
   x = 32,980,376,025/120,990
6. Step 6: Final answer
   x = 272,587.62