Finding the Third Proportional to 47,736 and 103,672

Step by Step Solution

1. Step 1: Write the proportion equation
   47,736 : 103,672 = 103,672 : x
2. Step 2: Convert to fraction form
   47,736/103,672 = 103,672/x
3. Step 3: Cross multiply
   47,736x = 103,672 × 103,672
4. Step 4: Simplify right side
   47,736x = 10,747,883,584
5. Step 5: Solve for x
   x = 10,747,883,584/47,736
6. Step 6: Final answer
   x = 225,152.58