Finding the Third Proportional to 221,080 and 477,456

Step by Step Solution

1. Step 1: Write the proportion equation
   221,080 : 477,456 = 477,456 : x
2. Step 2: Convert to fraction form
   221,080/477,456 = 477,456/x
3. Step 3: Cross multiply
   221,080x = 477,456 × 477,456
4. Step 4: Simplify right side
   221,080x = 227,964,231,936
5. Step 5: Solve for x
   x = 227,964,231,936/221,080
6. Step 6: Final answer
   x = 1,031,139.10