Finding the Third Proportional to 289,767 and 443,264

Step by Step Solution

1. Step 1: Write the proportion equation
   289,767 : 443,264 = 443,264 : x
2. Step 2: Convert to fraction form
   289,767/443,264 = 443,264/x
3. Step 3: Cross multiply
   289,767x = 443,264 × 443,264
4. Step 4: Simplify right side
   289,767x = 196,482,973,696
5. Step 5: Solve for x
   x = 196,482,973,696/289,767
6. Step 6: Final answer
   x = 678,072.29