Finding the Third Proportional to 120,986 and 181,599

Step by Step Solution

1. Step 1: Write the proportion equation
   120,986 : 181,599 = 181,599 : x
2. Step 2: Convert to fraction form
   120,986/181,599 = 181,599/x
3. Step 3: Cross multiply
   120,986x = 181,599 × 181,599
4. Step 4: Simplify right side
   120,986x = 32,978,196,801
5. Step 5: Solve for x
   x = 32,978,196,801/120,986
6. Step 6: Final answer
   x = 272,578.62