Finding the Third Proportional to 443,853 and 686,495.25

Step by Step Solution

1. Step 1: Write the proportion equation
   443,853 : 686,495.25 = 686,495.25 : x
2. Step 2: Convert to fraction form
   443,853/686,495.25 = 686,495.25/x
3. Step 3: Cross multiply
   443,853x = 686,495.25 × 686,495.25
4. Step 4: Simplify right side
   443,853x = 471,275,728,272.56
5. Step 5: Solve for x
   x = 471,275,728,272.56/443,853
6. Step 6: Final answer
   x = 1,061,783.36