Finding the Third Proportional to 262,096 and 395,316

Step by Step Solution

1. Step 1: Write the proportion equation
   262,096 : 395,316 = 395,316 : x
2. Step 2: Convert to fraction form
   262,096/395,316 = 395,316/x
3. Step 3: Cross multiply
   262,096x = 395,316 × 395,316
4. Step 4: Simplify right side
   262,096x = 156,274,739,856
5. Step 5: Solve for x
   x = 156,274,739,856/262,096
6. Step 6: Final answer
   x = 596,250.00