Finding the Third Proportional to 47,914 and 105,244

Step by Step Solution

1. Step 1: Write the proportion equation
   47,914 : 105,244 = 105,244 : x
2. Step 2: Convert to fraction form
   47,914/105,244 = 105,244/x
3. Step 3: Cross multiply
   47,914x = 105,244 × 105,244
4. Step 4: Simplify right side
   47,914x = 11,076,299,536
5. Step 5: Solve for x
   x = 11,076,299,536/47,914
6. Step 6: Final answer
   x = 231,170.42