Finding the Third Proportional to 49,146 and 105,306

Step by Step Solution

1. Step 1: Write the proportion equation
   49,146 : 105,306 = 105,306 : x
2. Step 2: Convert to fraction form
   49,146/105,306 = 105,306/x
3. Step 3: Cross multiply
   49,146x = 105,306 × 105,306
4. Step 4: Simplify right side
   49,146x = 11,089,353,636
5. Step 5: Solve for x
   x = 11,089,353,636/49,146
6. Step 6: Final answer
   x = 225,641.02