Finding the Third Proportional to 266,640 and 585,144

Step by Step Solution

1. Step 1: Write the proportion equation
   266,640 : 585,144 = 585,144 : x
2. Step 2: Convert to fraction form
   266,640/585,144 = 585,144/x
3. Step 3: Cross multiply
   266,640x = 585,144 × 585,144
4. Step 4: Simplify right side
   266,640x = 342,393,500,736
5. Step 5: Solve for x
   x = 342,393,500,736/266,640
6. Step 6: Final answer
   x = 1,284,104.04