Finding the Third Proportional to 109,878 and 236,556

Step by Step Solution

1. Step 1: Write the proportion equation
   109,878 : 236,556 = 236,556 : x
2. Step 2: Convert to fraction form
   109,878/236,556 = 236,556/x
3. Step 3: Cross multiply
   109,878x = 236,556 × 236,556
4. Step 4: Simplify right side
   109,878x = 55,958,741,136
5. Step 5: Solve for x
   x = 55,958,741,136/109,878
6. Step 6: Final answer
   x = 509,280.67