Finding the Third Proportional to 338,714 and 510,941

Step by Step Solution

1. Step 1: Write the proportion equation
   338,714 : 510,941 = 510,941 : x
2. Step 2: Convert to fraction form
   338,714/510,941 = 510,941/x
3. Step 3: Cross multiply
   338,714x = 510,941 × 510,941
4. Step 4: Simplify right side
   338,714x = 261,060,705,481
5. Step 5: Solve for x
   x = 261,060,705,481/338,714
6. Step 6: Final answer
   x = 770,740.82