Finding the Third Proportional to 321,021 and 476,910

Step by Step Solution

1. Step 1: Write the proportion equation
   321,021 : 476,910 = 476,910 : x
2. Step 2: Convert to fraction form
   321,021/476,910 = 476,910/x
3. Step 3: Cross multiply
   321,021x = 476,910 × 476,910
4. Step 4: Simplify right side
   321,021x = 227,443,148,100
5. Step 5: Solve for x
   x = 227,443,148,100/321,021
6. Step 6: Final answer
   x = 708,499.28