Finding the Third Proportional to 289,827 and 443,385

Step by Step Solution

1. Step 1: Write the proportion equation
   289,827 : 443,385 = 443,385 : x
2. Step 2: Convert to fraction form
   289,827/443,385 = 443,385/x
3. Step 3: Cross multiply
   289,827x = 443,385 × 443,385
4. Step 4: Simplify right side
   289,827x = 196,590,258,225
5. Step 5: Solve for x
   x = 196,590,258,225/289,827
6. Step 6: Final answer
   x = 678,302.08