Finding the Third Proportional to 50,523 and 109,920

Step by Step Solution

1. Step 1: Write the proportion equation
   50,523 : 109,920 = 109,920 : x
2. Step 2: Convert to fraction form
   50,523/109,920 = 109,920/x
3. Step 3: Cross multiply
   50,523x = 109,920 × 109,920
4. Step 4: Simplify right side
   50,523x = 12,082,406,400
5. Step 5: Solve for x
   x = 12,082,406,400/50,523
6. Step 6: Final answer
   x = 239,146.65