Finding the Third Proportional to 50,454 and 109,644

Step by Step Solution

1. Step 1: Write the proportion equation
   50,454 : 109,644 = 109,644 : x
2. Step 2: Convert to fraction form
   50,454/109,644 = 109,644/x
3. Step 3: Cross multiply
   50,454x = 109,644 × 109,644
4. Step 4: Simplify right side
   50,454x = 12,021,806,736
5. Step 5: Solve for x
   x = 12,021,806,736/50,454
6. Step 6: Final answer
   x = 238,272.62