Finding the Third Proportional to 108,882 and 256,180

Step by Step Solution

1. Step 1: Write the proportion equation
   108,882 : 256,180 = 256,180 : x
2. Step 2: Convert to fraction form
   108,882/256,180 = 256,180/x
3. Step 3: Cross multiply
   108,882x = 256,180 × 256,180
4. Step 4: Simplify right side
   108,882x = 65,628,192,400
5. Step 5: Solve for x
   x = 65,628,192,400/108,882
6. Step 6: Final answer
   x = 602,746.02