Finding the Third Proportional to 123,296 and 266,016

Step by Step Solution

1. Step 1: Write the proportion equation
   123,296 : 266,016 = 266,016 : x
2. Step 2: Convert to fraction form
   123,296/266,016 = 266,016/x
3. Step 3: Cross multiply
   123,296x = 266,016 × 266,016
4. Step 4: Simplify right side
   123,296x = 70,764,512,256
5. Step 5: Solve for x
   x = 70,764,512,256/123,296
6. Step 6: Final answer
   x = 573,940.05