Finding the Third Proportional to 120,978 and 181,588

Step by Step Solution

1. Step 1: Write the proportion equation
   120,978 : 181,588 = 181,588 : x
2. Step 2: Convert to fraction form
   120,978/181,588 = 181,588/x
3. Step 3: Cross multiply
   120,978x = 181,588 × 181,588
4. Step 4: Simplify right side
   120,978x = 32,974,201,744
5. Step 5: Solve for x
   x = 32,974,201,744/120,978
6. Step 6: Final answer
   x = 272,563.62