Finding the Third Proportional to 266,048 and 315,256

Step by Step Solution

1. Step 1: Write the proportion equation
   266,048 : 315,256 = 315,256 : x
2. Step 2: Convert to fraction form
   266,048/315,256 = 315,256/x
3. Step 3: Cross multiply
   266,048x = 315,256 × 315,256
4. Step 4: Simplify right side
   266,048x = 99,386,345,536
5. Step 5: Solve for x
   x = 99,386,345,536/266,048
6. Step 6: Final answer
   x = 373,565.47