Finding the Third Proportional to 256,320 and 550,584

Step by Step Solution

1. Step 1: Write the proportion equation
   256,320 : 550,584 = 550,584 : x
2. Step 2: Convert to fraction form
   256,320/550,584 = 550,584/x
3. Step 3: Cross multiply
   256,320x = 550,584 × 550,584
4. Step 4: Simplify right side
   256,320x = 303,142,741,056
5. Step 5: Solve for x
   x = 303,142,741,056/256,320
6. Step 6: Final answer
   x = 1,182,672.99