Finding the Third Proportional to 47,614 and 103,693

Step by Step Solution

1. Step 1: Write the proportion equation
   47,614 : 103,693 = 103,693 : x
2. Step 2: Convert to fraction form
   47,614/103,693 = 103,693/x
3. Step 3: Cross multiply
   47,614x = 103,693 × 103,693
4. Step 4: Simplify right side
   47,614x = 10,752,238,249
5. Step 5: Solve for x
   x = 10,752,238,249/47,614
6. Step 6: Final answer
   x = 225,820.94