Finding the Third Proportional to 123,717 and 264,928

Step by Step Solution

1. Step 1: Write the proportion equation
   123,717 : 264,928 = 264,928 : x
2. Step 2: Convert to fraction form
   123,717/264,928 = 264,928/x
3. Step 3: Cross multiply
   123,717x = 264,928 × 264,928
4. Step 4: Simplify right side
   123,717x = 70,186,845,184
5. Step 5: Solve for x
   x = 70,186,845,184/123,717
6. Step 6: Final answer
   x = 567,317.71