Finding the Third Proportional to 160,996 and 255,300

Step by Step Solution

1. Step 1: Write the proportion equation
   160,996 : 255,300 = 255,300 : x
2. Step 2: Convert to fraction form
   160,996/255,300 = 255,300/x
3. Step 3: Cross multiply
   160,996x = 255,300 × 255,300
4. Step 4: Simplify right side
   160,996x = 65,178,090,000
5. Step 5: Solve for x
   x = 65,178,090,000/160,996
6. Step 6: Final answer
   x = 404,842.92