Finding the Third Proportional to 47,809 and 105,054

Step by Step Solution

1. Step 1: Write the proportion equation
   47,809 : 105,054 = 105,054 : x
2. Step 2: Convert to fraction form
   47,809/105,054 = 105,054/x
3. Step 3: Cross multiply
   47,809x = 105,054 × 105,054
4. Step 4: Simplify right side
   47,809x = 11,036,342,916
5. Step 5: Solve for x
   x = 11,036,342,916/47,809
6. Step 6: Final answer
   x = 230,842.37