Finding the Third Proportional to 352,164 and 733,510

Step by Step Solution

1. Step 1: Write the proportion equation
   352,164 : 733,510 = 733,510 : x
2. Step 2: Convert to fraction form
   352,164/733,510 = 733,510/x
3. Step 3: Cross multiply
   352,164x = 733,510 × 733,510
4. Step 4: Simplify right side
   352,164x = 538,036,920,100
5. Step 5: Solve for x
   x = 538,036,920,100/352,164
6. Step 6: Final answer
   x = 1,527,802.16