Finding the Third Proportional to 123,514 and 266,078

Step by Step Solution

1. Step 1: Write the proportion equation
   123,514 : 266,078 = 266,078 : x
2. Step 2: Convert to fraction form
   123,514/266,078 = 266,078/x
3. Step 3: Cross multiply
   123,514x = 266,078 × 266,078
4. Step 4: Simplify right side
   123,514x = 70,797,502,084
5. Step 5: Solve for x
   x = 70,797,502,084/123,514
6. Step 6: Final answer
   x = 573,194.15