Finding the Third Proportional to 123,537 and 251,570

Step by Step Solution

1. Step 1: Write the proportion equation
   123,537 : 251,570 = 251,570 : x
2. Step 2: Convert to fraction form
   123,537/251,570 = 251,570/x
3. Step 3: Cross multiply
   123,537x = 251,570 × 251,570
4. Step 4: Simplify right side
   123,537x = 63,287,464,900
5. Step 5: Solve for x
   x = 63,287,464,900/123,537
6. Step 6: Final answer
   x = 512,295.63