Finding the Third Proportional to 325,714 and 464,910

Step by Step Solution

1. Step 1: Write the proportion equation
   325,714 : 464,910 = 464,910 : x
2. Step 2: Convert to fraction form
   325,714/464,910 = 464,910/x
3. Step 3: Cross multiply
   325,714x = 464,910 × 464,910
4. Step 4: Simplify right side
   325,714x = 216,141,308,100
5. Step 5: Solve for x
   x = 216,141,308,100/325,714
6. Step 6: Final answer
   x = 663,592.32