Finding the Third Proportional to 285,216 and 443,424

Step by Step Solution

1. Step 1: Write the proportion equation
   285,216 : 443,424 = 443,424 : x
2. Step 2: Convert to fraction form
   285,216/443,424 = 443,424/x
3. Step 3: Cross multiply
   285,216x = 443,424 × 443,424
4. Step 4: Simplify right side
   285,216x = 196,624,843,776
5. Step 5: Solve for x
   x = 196,624,843,776/285,216
6. Step 6: Final answer
   x = 689,389.25