Finding the Third Proportional to 50,394 and 108,595

Step by Step Solution

1. Step 1: Write the proportion equation
   50,394 : 108,595 = 108,595 : x
2. Step 2: Convert to fraction form
   50,394/108,595 = 108,595/x
3. Step 3: Cross multiply
   50,394x = 108,595 × 108,595
4. Step 4: Simplify right side
   50,394x = 11,792,874,025
5. Step 5: Solve for x
   x = 11,792,874,025/50,394
6. Step 6: Final answer
   x = 234,013.45