Finding the Third Proportional to 304,736 and 456,816

Step by Step Solution

1. Step 1: Write the proportion equation
   304,736 : 456,816 = 456,816 : x
2. Step 2: Convert to fraction form
   304,736/456,816 = 456,816/x
3. Step 3: Cross multiply
   304,736x = 456,816 × 456,816
4. Step 4: Simplify right side
   304,736x = 208,680,857,856
5. Step 5: Solve for x
   x = 208,680,857,856/304,736
6. Step 6: Final answer
   x = 684,792.27