Finding the Third Proportional to 353,106 and 540,256

Step by Step Solution

1. Step 1: Write the proportion equation
   353,106 : 540,256 = 540,256 : x
2. Step 2: Convert to fraction form
   353,106/540,256 = 540,256/x
3. Step 3: Cross multiply
   353,106x = 540,256 × 540,256
4. Step 4: Simplify right side
   353,106x = 291,876,545,536
5. Step 5: Solve for x
   x = 291,876,545,536/353,106
6. Step 6: Final answer
   x = 826,597.52