Finding the Third Proportional to 49,423 and 105,996

Step by Step Solution

1. Step 1: Write the proportion equation
   49,423 : 105,996 = 105,996 : x
2. Step 2: Convert to fraction form
   49,423/105,996 = 105,996/x
3. Step 3: Cross multiply
   49,423x = 105,996 × 105,996
4. Step 4: Simplify right side
   49,423x = 11,235,152,016
5. Step 5: Solve for x
   x = 11,235,152,016/49,423
6. Step 6: Final answer
   x = 227,326.39