Finding the Third Proportional to 47,976 and 103,632

Step by Step Solution

1. Step 1: Write the proportion equation
   47,976 : 103,632 = 103,632 : x
2. Step 2: Convert to fraction form
   47,976/103,632 = 103,632/x
3. Step 3: Cross multiply
   47,976x = 103,632 × 103,632
4. Step 4: Simplify right side
   47,976x = 10,739,591,424
5. Step 5: Solve for x
   x = 10,739,591,424/47,976
6. Step 6: Final answer
   x = 223,853.41