Finding the Third Proportional to 50,990 and 110,454

Step by Step Solution

1. Step 1: Write the proportion equation
   50,990 : 110,454 = 110,454 : x
2. Step 2: Convert to fraction form
   50,990/110,454 = 110,454/x
3. Step 3: Cross multiply
   50,990x = 110,454 × 110,454
4. Step 4: Simplify right side
   50,990x = 12,200,086,116
5. Step 5: Solve for x
   x = 12,200,086,116/50,990
6. Step 6: Final answer
   x = 239,264.29