Finding the Third Proportional to 367,096.50 and 516,960.50

Step by Step Solution

1. Step 1: Write the proportion equation
   367,096.50 : 516,960.50 = 516,960.50 : x
2. Step 2: Convert to fraction form
   367,096.50/516,960.50 = 516,960.50/x
3. Step 3: Cross multiply
   367,096.50x = 516,960.50 × 516,960.50
4. Step 4: Simplify right side
   367,096.50x = 267,248,158,560.25
5. Step 5: Solve for x
   x = 267,248,158,560.25/367,096.50
6. Step 6: Final answer
   x = 728,005.19