Finding the Third Proportional to 233,708 and 510,648

Step by Step Solution

1. Step 1: Write the proportion equation
   233,708 : 510,648 = 510,648 : x
2. Step 2: Convert to fraction form
   233,708/510,648 = 510,648/x
3. Step 3: Cross multiply
   233,708x = 510,648 × 510,648
4. Step 4: Simplify right side
   233,708x = 260,761,379,904
5. Step 5: Solve for x
   x = 260,761,379,904/233,708
6. Step 6: Final answer
   x = 1,115,757.18