Finding the Third Proportional to 55,434 and 98,556

Step by Step Solution

1. Step 1: Write the proportion equation
   55,434 : 98,556 = 98,556 : x
2. Step 2: Convert to fraction form
   55,434/98,556 = 98,556/x
3. Step 3: Cross multiply
   55,434x = 98,556 × 98,556
4. Step 4: Simplify right side
   55,434x = 9,713,285,136
5. Step 5: Solve for x
   x = 9,713,285,136/55,434
6. Step 6: Final answer
   x = 175,222.52