Finding the Third Proportional to 361,648 and 535,096

Step by Step Solution

1. Step 1: Write the proportion equation
   361,648 : 535,096 = 535,096 : x
2. Step 2: Convert to fraction form
   361,648/535,096 = 535,096/x
3. Step 3: Cross multiply
   361,648x = 535,096 × 535,096
4. Step 4: Simplify right side
   361,648x = 286,327,729,216
5. Step 5: Solve for x
   x = 286,327,729,216/361,648
6. Step 6: Final answer
   x = 791,730.44