Finding the Third Proportional to 47,606 and 103,681

Step by Step Solution

1. Step 1: Write the proportion equation
   47,606 : 103,681 = 103,681 : x
2. Step 2: Convert to fraction form
   47,606/103,681 = 103,681/x
3. Step 3: Cross multiply
   47,606x = 103,681 × 103,681
4. Step 4: Simplify right side
   47,606x = 10,749,749,761
5. Step 5: Solve for x
   x = 10,749,749,761/47,606
6. Step 6: Final answer
   x = 225,806.62