Finding the Third Proportional to 367,096 and 516,959.75

Step by Step Solution

1. Step 1: Write the proportion equation
   367,096 : 516,959.75 = 516,959.75 : x
2. Step 2: Convert to fraction form
   367,096/516,959.75 = 516,959.75/x
3. Step 3: Cross multiply
   367,096x = 516,959.75 × 516,959.75
4. Step 4: Simplify right side
   367,096x = 267,247,383,120.06
5. Step 5: Solve for x
   x = 267,247,383,120.06/367,096
6. Step 6: Final answer
   x = 728,004.07