Finding the Third Proportional to 49,478 and 100,684

Step by Step Solution

1. Step 1: Write the proportion equation
   49,478 : 100,684 = 100,684 : x
2. Step 2: Convert to fraction form
   49,478/100,684 = 100,684/x
3. Step 3: Cross multiply
   49,478x = 100,684 × 100,684
4. Step 4: Simplify right side
   49,478x = 10,137,267,856
5. Step 5: Solve for x
   x = 10,137,267,856/49,478
6. Step 6: Final answer
   x = 204,884.35