Finding the Third Proportional to 49,656 and 102,684

Step by Step Solution

1. Step 1: Write the proportion equation
   49,656 : 102,684 = 102,684 : x
2. Step 2: Convert to fraction form
   49,656/102,684 = 102,684/x
3. Step 3: Cross multiply
   49,656x = 102,684 × 102,684
4. Step 4: Simplify right side
   49,656x = 10,544,003,856
5. Step 5: Solve for x
   x = 10,544,003,856/49,656
6. Step 6: Final answer
   x = 212,340.98