Finding the Third Proportional to 261,584 and 404,960

Step by Step Solution

1. Step 1: Write the proportion equation
   261,584 : 404,960 = 404,960 : x
2. Step 2: Convert to fraction form
   261,584/404,960 = 404,960/x
3. Step 3: Cross multiply
   261,584x = 404,960 × 404,960
4. Step 4: Simplify right side
   261,584x = 163,992,601,600
5. Step 5: Solve for x
   x = 163,992,601,600/261,584
6. Step 6: Final answer
   x = 626,921.38