Finding the Third Proportional to 43,946 and 103,697

Step by Step Solution

1. Step 1: Write the proportion equation
   43,946 : 103,697 = 103,697 : x
2. Step 2: Convert to fraction form
   43,946/103,697 = 103,697/x
3. Step 3: Cross multiply
   43,946x = 103,697 × 103,697
4. Step 4: Simplify right side
   43,946x = 10,753,067,809
5. Step 5: Solve for x
   x = 10,753,067,809/43,946
6. Step 6: Final answer
   x = 244,688.20