Finding the Third Proportional to 233,304 and 345,036

Step by Step Solution

1. Step 1: Write the proportion equation
   233,304 : 345,036 = 345,036 : x
2. Step 2: Convert to fraction form
   233,304/345,036 = 345,036/x
3. Step 3: Cross multiply
   233,304x = 345,036 × 345,036
4. Step 4: Simplify right side
   233,304x = 119,049,841,296
5. Step 5: Solve for x
   x = 119,049,841,296/233,304
6. Step 6: Final answer
   x = 510,277.75