Finding the Third Proportional to 117,222 and 256,800

Step by Step Solution

1. Step 1: Write the proportion equation
   117,222 : 256,800 = 256,800 : x
2. Step 2: Convert to fraction form
   117,222/256,800 = 256,800/x
3. Step 3: Cross multiply
   117,222x = 256,800 × 256,800
4. Step 4: Simplify right side
   117,222x = 65,946,240,000
5. Step 5: Solve for x
   x = 65,946,240,000/117,222
6. Step 6: Final answer
   x = 562,575.63