Finding the Third Proportional to 47,399 and 109,731

Step by Step Solution

1. Step 1: Write the proportion equation
   47,399 : 109,731 = 109,731 : x
2. Step 2: Convert to fraction form
   47,399/109,731 = 109,731/x
3. Step 3: Cross multiply
   47,399x = 109,731 × 109,731
4. Step 4: Simplify right side
   47,399x = 12,040,892,361
5. Step 5: Solve for x
   x = 12,040,892,361/47,399
6. Step 6: Final answer
   x = 254,032.62