Finding the Third Proportional to 50,642 and 110,819

Step by Step Solution

1. Step 1: Write the proportion equation
   50,642 : 110,819 = 110,819 : x
2. Step 2: Convert to fraction form
   50,642/110,819 = 110,819/x
3. Step 3: Cross multiply
   50,642x = 110,819 × 110,819
4. Step 4: Simplify right side
   50,642x = 12,280,850,761
5. Step 5: Solve for x
   x = 12,280,850,761/50,642
6. Step 6: Final answer
   x = 242,503.27