Finding the Third Proportional to 233,568 and 510,758

Step by Step Solution

1. Step 1: Write the proportion equation
   233,568 : 510,758 = 510,758 : x
2. Step 2: Convert to fraction form
   233,568/510,758 = 510,758/x
3. Step 3: Cross multiply
   233,568x = 510,758 × 510,758
4. Step 4: Simplify right side
   233,568x = 260,873,734,564
5. Step 5: Solve for x
   x = 260,873,734,564/233,568
6. Step 6: Final answer
   x = 1,116,907.00