Finding the Third Proportional to 120,633 and 254,874

Step by Step Solution

1. Step 1: Write the proportion equation
   120,633 : 254,874 = 254,874 : x
2. Step 2: Convert to fraction form
   120,633/254,874 = 254,874/x
3. Step 3: Cross multiply
   120,633x = 254,874 × 254,874
4. Step 4: Simplify right side
   120,633x = 64,960,755,876
5. Step 5: Solve for x
   x = 64,960,755,876/120,633
6. Step 6: Final answer
   x = 538,499.05