Finding the Third Proportional to 116,788 and 255,384

Step by Step Solution

1. Step 1: Write the proportion equation
   116,788 : 255,384 = 255,384 : x
2. Step 2: Convert to fraction form
   116,788/255,384 = 255,384/x
3. Step 3: Cross multiply
   116,788x = 255,384 × 255,384
4. Step 4: Simplify right side
   116,788x = 65,220,987,456
5. Step 5: Solve for x
   x = 65,220,987,456/116,788
6. Step 6: Final answer
   x = 558,456.24