Finding the Third Proportional to 240,256 and 359,520

Step by Step Solution

1. Step 1: Write the proportion equation
   240,256 : 359,520 = 359,520 : x
2. Step 2: Convert to fraction form
   240,256/359,520 = 359,520/x
3. Step 3: Cross multiply
   240,256x = 359,520 × 359,520
4. Step 4: Simplify right side
   240,256x = 129,254,630,400
5. Step 5: Solve for x
   x = 129,254,630,400/240,256
6. Step 6: Final answer
   x = 537,987.11