Finding the Third Proportional to 49,043 and 105,196

Step by Step Solution

1. Step 1: Write the proportion equation
   49,043 : 105,196 = 105,196 : x
2. Step 2: Convert to fraction form
   49,043/105,196 = 105,196/x
3. Step 3: Cross multiply
   49,043x = 105,196 × 105,196
4. Step 4: Simplify right side
   49,043x = 11,066,198,416
5. Step 5: Solve for x
   x = 11,066,198,416/49,043
6. Step 6: Final answer
   x = 225,642.77