Finding the Third Proportional to 253,184 and 540,256

Step by Step Solution

1. Step 1: Write the proportion equation
   253,184 : 540,256 = 540,256 : x
2. Step 2: Convert to fraction form
   253,184/540,256 = 540,256/x
3. Step 3: Cross multiply
   253,184x = 540,256 × 540,256
4. Step 4: Simplify right side
   253,184x = 291,876,545,536
5. Step 5: Solve for x
   x = 291,876,545,536/253,184
6. Step 6: Final answer
   x = 1,152,823.82