Finding the Third Proportional to 325,666 and 464,846

Step by Step Solution

1. Step 1: Write the proportion equation
   325,666 : 464,846 = 464,846 : x
2. Step 2: Convert to fraction form
   325,666/464,846 = 464,846/x
3. Step 3: Cross multiply
   325,666x = 464,846 × 464,846
4. Step 4: Simplify right side
   325,666x = 216,081,803,716
5. Step 5: Solve for x
   x = 216,081,803,716/325,666
6. Step 6: Final answer
   x = 663,507.41