Finding the Third Proportional to 123,513 and 275,424

Step by Step Solution

1. Step 1: Write the proportion equation
   123,513 : 275,424 = 275,424 : x
2. Step 2: Convert to fraction form
   123,513/275,424 = 275,424/x
3. Step 3: Cross multiply
   123,513x = 275,424 × 275,424
4. Step 4: Simplify right side
   123,513x = 75,858,379,776
5. Step 5: Solve for x
   x = 75,858,379,776/123,513
6. Step 6: Final answer
   x = 614,173.24