Finding the Third Proportional to 116,986 and 180,978

Step by Step Solution

1. Step 1: Write the proportion equation
   116,986 : 180,978 = 180,978 : x
2. Step 2: Convert to fraction form
   116,986/180,978 = 180,978/x
3. Step 3: Cross multiply
   116,986x = 180,978 × 180,978
4. Step 4: Simplify right side
   116,986x = 32,753,036,484
5. Step 5: Solve for x
   x = 32,753,036,484/116,986
6. Step 6: Final answer
   x = 279,973.98