Finding the Third Proportional to 47,907 and 105,597

Step by Step Solution

1. Step 1: Write the proportion equation
   47,907 : 105,597 = 105,597 : x
2. Step 2: Convert to fraction form
   47,907/105,597 = 105,597/x
3. Step 3: Cross multiply
   47,907x = 105,597 × 105,597
4. Step 4: Simplify right side
   47,907x = 11,150,726,409
5. Step 5: Solve for x
   x = 11,150,726,409/47,907
6. Step 6: Final answer
   x = 232,757.77