Finding the Third Proportional to 49,493 and 100,714

Step by Step Solution

1. Step 1: Write the proportion equation
   49,493 : 100,714 = 100,714 : x
2. Step 2: Convert to fraction form
   49,493/100,714 = 100,714/x
3. Step 3: Cross multiply
   49,493x = 100,714 × 100,714
4. Step 4: Simplify right side
   49,493x = 10,143,309,796
5. Step 5: Solve for x
   x = 10,143,309,796/49,493
6. Step 6: Final answer
   x = 204,944.33