Finding the Third Proportional to 304,756 and 464,872

Step by Step Solution

1. Step 1: Write the proportion equation
   304,756 : 464,872 = 464,872 : x
2. Step 2: Convert to fraction form
   304,756/464,872 = 464,872/x
3. Step 3: Cross multiply
   304,756x = 464,872 × 464,872
4. Step 4: Simplify right side
   304,756x = 216,105,976,384
5. Step 5: Solve for x
   x = 216,105,976,384/304,756
6. Step 6: Final answer
   x = 709,111.47