Finding the Third Proportional to 233,642 and 511,510

Step by Step Solution

1. Step 1: Write the proportion equation
   233,642 : 511,510 = 511,510 : x
2. Step 2: Convert to fraction form
   233,642/511,510 = 511,510/x
3. Step 3: Cross multiply
   233,642x = 511,510 × 511,510
4. Step 4: Simplify right side
   233,642x = 261,642,480,100
5. Step 5: Solve for x
   x = 261,642,480,100/233,642
6. Step 6: Final answer
   x = 1,119,843.52