Finding the Third Proportional to 47,904 and 105,225

Step by Step Solution

1. Step 1: Write the proportion equation
   47,904 : 105,225 = 105,225 : x
2. Step 2: Convert to fraction form
   47,904/105,225 = 105,225/x
3. Step 3: Cross multiply
   47,904x = 105,225 × 105,225
4. Step 4: Simplify right side
   47,904x = 11,072,300,625
5. Step 5: Solve for x
   x = 11,072,300,625/47,904
6. Step 6: Final answer
   x = 231,135.20