Finding the Third Proportional to 47,406 and 103,740

Step by Step Solution

1. Step 1: Write the proportion equation
   47,406 : 103,740 = 103,740 : x
2. Step 2: Convert to fraction form
   47,406/103,740 = 103,740/x
3. Step 3: Cross multiply
   47,406x = 103,740 × 103,740
4. Step 4: Simplify right side
   47,406x = 10,761,987,600
5. Step 5: Solve for x
   x = 10,761,987,600/47,406
6. Step 6: Final answer
   x = 227,017.42