Finding the Third Proportional to 48,909 and 105,597

Step by Step Solution

1. Step 1: Write the proportion equation
   48,909 : 105,597 = 105,597 : x
2. Step 2: Convert to fraction form
   48,909/105,597 = 105,597/x
3. Step 3: Cross multiply
   48,909x = 105,597 × 105,597
4. Step 4: Simplify right side
   48,909x = 11,150,726,409
5. Step 5: Solve for x
   x = 11,150,726,409/48,909
6. Step 6: Final answer
   x = 227,989.25