Finding the Third Proportional to 47,832 and 111,705

Step by Step Solution

1. Step 1: Write the proportion equation
   47,832 : 111,705 = 111,705 : x
2. Step 2: Convert to fraction form
   47,832/111,705 = 111,705/x
3. Step 3: Cross multiply
   47,832x = 111,705 × 111,705
4. Step 4: Simplify right side
   47,832x = 12,478,007,025
5. Step 5: Solve for x
   x = 12,478,007,025/47,832
6. Step 6: Final answer
   x = 260,871.53