Finding the Third Proportional to 47,919 and 105,254

Step by Step Solution

1. Step 1: Write the proportion equation
   47,919 : 105,254 = 105,254 : x
2. Step 2: Convert to fraction form
   47,919/105,254 = 105,254/x
3. Step 3: Cross multiply
   47,919x = 105,254 × 105,254
4. Step 4: Simplify right side
   47,919x = 11,078,404,516
5. Step 5: Solve for x
   x = 11,078,404,516/47,919
6. Step 6: Final answer
   x = 231,190.23