Finding the Third Proportional to 337,596 and 510,009

Step by Step Solution

1. Step 1: Write the proportion equation
   337,596 : 510,009 = 510,009 : x
2. Step 2: Convert to fraction form
   337,596/510,009 = 510,009/x
3. Step 3: Cross multiply
   337,596x = 510,009 × 510,009
4. Step 4: Simplify right side
   337,596x = 260,109,180,081
5. Step 5: Solve for x
   x = 260,109,180,081/337,596
6. Step 6: Final answer
   x = 770,474.71