Finding the Third Proportional to 47,746 and 103,692

Step by Step Solution

1. Step 1: Write the proportion equation
   47,746 : 103,692 = 103,692 : x
2. Step 2: Convert to fraction form
   47,746/103,692 = 103,692/x
3. Step 3: Cross multiply
   47,746x = 103,692 × 103,692
4. Step 4: Simplify right side
   47,746x = 10,752,030,864
5. Step 5: Solve for x
   x = 10,752,030,864/47,746
6. Step 6: Final answer
   x = 225,192.29