Finding the Third Proportional to 253,144 and 356,078

Step by Step Solution

1. Step 1: Write the proportion equation
   253,144 : 356,078 = 356,078 : x
2. Step 2: Convert to fraction form
   253,144/356,078 = 356,078/x
3. Step 3: Cross multiply
   253,144x = 356,078 × 356,078
4. Step 4: Simplify right side
   253,144x = 126,791,542,084
5. Step 5: Solve for x
   x = 126,791,542,084/253,144
6. Step 6: Final answer
   x = 500,867.26