Finding the Third Proportional to 50,638.50 and 110,823

Step by Step Solution

1. Step 1: Write the proportion equation
   50,638.50 : 110,823 = 110,823 : x
2. Step 2: Convert to fraction form
   50,638.50/110,823 = 110,823/x
3. Step 3: Cross multiply
   50,638.50x = 110,823 × 110,823
4. Step 4: Simplify right side
   50,638.50x = 12,281,737,329
5. Step 5: Solve for x
   x = 12,281,737,329/50,638.50
6. Step 6: Final answer
   x = 242,537.54