Finding the Third Proportional to 284,968 and 443,008

Step by Step Solution

1. Step 1: Write the proportion equation
   284,968 : 443,008 = 443,008 : x
2. Step 2: Convert to fraction form
   284,968/443,008 = 443,008/x
3. Step 3: Cross multiply
   284,968x = 443,008 × 443,008
4. Step 4: Simplify right side
   284,968x = 196,256,088,064
5. Step 5: Solve for x
   x = 196,256,088,064/284,968
6. Step 6: Final answer
   x = 688,695.18