Finding the Third Proportional to 47,686 and 103,338

Step by Step Solution

1. Step 1: Write the proportion equation
   47,686 : 103,338 = 103,338 : x
2. Step 2: Convert to fraction form
   47,686/103,338 = 103,338/x
3. Step 3: Cross multiply
   47,686x = 103,338 × 103,338
4. Step 4: Simplify right side
   47,686x = 10,678,742,244
5. Step 5: Solve for x
   x = 10,678,742,244/47,686
6. Step 6: Final answer
   x = 223,938.73