Finding the Third Proportional to 123,309 and 266,256

Step by Step Solution

1. Step 1: Write the proportion equation
   123,309 : 266,256 = 266,256 : x
2. Step 2: Convert to fraction form
   123,309/266,256 = 266,256/x
3. Step 3: Cross multiply
   123,309x = 266,256 × 266,256
4. Step 4: Simplify right side
   123,309x = 70,892,257,536
5. Step 5: Solve for x
   x = 70,892,257,536/123,309
6. Step 6: Final answer
   x = 574,915.52