Finding the Third Proportional to 338,254 and 520,096

Step by Step Solution

1. Step 1: Write the proportion equation
   338,254 : 520,096 = 520,096 : x
2. Step 2: Convert to fraction form
   338,254/520,096 = 520,096/x
3. Step 3: Cross multiply
   338,254x = 520,096 × 520,096
4. Step 4: Simplify right side
   338,254x = 270,499,849,216
5. Step 5: Solve for x
   x = 270,499,849,216/338,254
6. Step 6: Final answer
   x = 799,694.46