Finding the Third Proportional to 123,256 and 266,192

Step by Step Solution

1. Step 1: Write the proportion equation
   123,256 : 266,192 = 266,192 : x
2. Step 2: Convert to fraction form
   123,256/266,192 = 266,192/x
3. Step 3: Cross multiply
   123,256x = 266,192 × 266,192
4. Step 4: Simplify right side
   123,256x = 70,858,180,864
5. Step 5: Solve for x
   x = 70,858,180,864/123,256
6. Step 6: Final answer
   x = 574,886.26