Finding the Third Proportional to 50,658 and 109,902

Step by Step Solution

1. Step 1: Write the proportion equation
   50,658 : 109,902 = 109,902 : x
2. Step 2: Convert to fraction form
   50,658/109,902 = 109,902/x
3. Step 3: Cross multiply
   50,658x = 109,902 × 109,902
4. Step 4: Simplify right side
   50,658x = 12,078,449,604
5. Step 5: Solve for x
   x = 12,078,449,604/50,658
6. Step 6: Final answer
   x = 238,431.24