Finding the Third Proportional to 224,576 and 480,266

Step by Step Solution

1. Step 1: Write the proportion equation
   224,576 : 480,266 = 480,266 : x
2. Step 2: Convert to fraction form
   224,576/480,266 = 480,266/x
3. Step 3: Cross multiply
   224,576x = 480,266 × 480,266
4. Step 4: Simplify right side
   224,576x = 230,655,430,756
5. Step 5: Solve for x
   x = 230,655,430,756/224,576
6. Step 6: Final answer
   x = 1,027,070.71