Finding the Third Proportional to 269,200 and 582,980

Step by Step Solution

1. Step 1: Write the proportion equation
   269,200 : 582,980 = 582,980 : x
2. Step 2: Convert to fraction form
   269,200/582,980 = 582,980/x
3. Step 3: Cross multiply
   269,200x = 582,980 × 582,980
4. Step 4: Simplify right side
   269,200x = 339,865,680,400
5. Step 5: Solve for x
   x = 339,865,680,400/269,200
6. Step 6: Final answer
   x = 1,262,502.53