Finding the Third Proportional to 226,598 and 476,524

Step by Step Solution

1. Step 1: Write the proportion equation
   226,598 : 476,524 = 476,524 : x
2. Step 2: Convert to fraction form
   226,598/476,524 = 476,524/x
3. Step 3: Cross multiply
   226,598x = 476,524 × 476,524
4. Step 4: Simplify right side
   226,598x = 227,075,122,576
5. Step 5: Solve for x
   x = 227,075,122,576/226,598
6. Step 6: Final answer
   x = 1,002,105.59