Finding the Third Proportional to 117,978 and 173,511

Step by Step Solution

1. Step 1: Write the proportion equation
   117,978 : 173,511 = 173,511 : x
2. Step 2: Convert to fraction form
   117,978/173,511 = 173,511/x
3. Step 3: Cross multiply
   117,978x = 173,511 × 173,511
4. Step 4: Simplify right side
   117,978x = 30,106,067,121
5. Step 5: Solve for x
   x = 30,106,067,121/117,978
6. Step 6: Final answer
   x = 255,183.74