Finding the Third Proportional to 49,742 and 103,678

Step by Step Solution

1. Step 1: Write the proportion equation
   49,742 : 103,678 = 103,678 : x
2. Step 2: Convert to fraction form
   49,742/103,678 = 103,678/x
3. Step 3: Cross multiply
   49,742x = 103,678 × 103,678
4. Step 4: Simplify right side
   49,742x = 10,749,127,684
5. Step 5: Solve for x
   x = 10,749,127,684/49,742
6. Step 6: Final answer
   x = 216,097.62