Finding the Third Proportional to 49,644 and 101,556

Step by Step Solution

1. Step 1: Write the proportion equation
   49,644 : 101,556 = 101,556 : x
2. Step 2: Convert to fraction form
   49,644/101,556 = 101,556/x
3. Step 3: Cross multiply
   49,644x = 101,556 × 101,556
4. Step 4: Simplify right side
   49,644x = 10,313,621,136
5. Step 5: Solve for x
   x = 10,313,621,136/49,644
6. Step 6: Final answer
   x = 207,751.61