Finding the Third Proportional to 367,264 and 567,096

Step by Step Solution

1. Step 1: Write the proportion equation
   367,264 : 567,096 = 567,096 : x
2. Step 2: Convert to fraction form
   367,264/567,096 = 567,096/x
3. Step 3: Cross multiply
   367,264x = 567,096 × 567,096
4. Step 4: Simplify right side
   367,264x = 321,597,873,216
5. Step 5: Solve for x
   x = 321,597,873,216/367,264
6. Step 6: Final answer
   x = 875,658.58