Finding the Third Proportional to 49,400 and 105,952

Step by Step Solution

1. Step 1: Write the proportion equation
   49,400 : 105,952 = 105,952 : x
2. Step 2: Convert to fraction form
   49,400/105,952 = 105,952/x
3. Step 3: Cross multiply
   49,400x = 105,952 × 105,952
4. Step 4: Simplify right side
   49,400x = 11,225,826,304
5. Step 5: Solve for x
   x = 11,225,826,304/49,400
6. Step 6: Final answer
   x = 227,243.45