Finding the Third Proportional to 50,454 and 108,684

Step by Step Solution

1. Step 1: Write the proportion equation
   50,454 : 108,684 = 108,684 : x
2. Step 2: Convert to fraction form
   50,454/108,684 = 108,684/x
3. Step 3: Cross multiply
   50,454x = 108,684 × 108,684
4. Step 4: Simplify right side
   50,454x = 11,812,211,856
5. Step 5: Solve for x
   x = 11,812,211,856/50,454
6. Step 6: Final answer
   x = 234,118.44