Finding the Third Proportional to 45,996 and 98,556

Step by Step Solution

1. Step 1: Write the proportion equation
   45,996 : 98,556 = 98,556 : x
2. Step 2: Convert to fraction form
   45,996/98,556 = 98,556/x
3. Step 3: Cross multiply
   45,996x = 98,556 × 98,556
4. Step 4: Simplify right side
   45,996x = 9,713,285,136
5. Step 5: Solve for x
   x = 9,713,285,136/45,996
6. Step 6: Final answer
   x = 211,176.74