Finding the Third Proportional to 366,936 and 516,727.50

Step by Step Solution

1. Step 1: Write the proportion equation
   366,936 : 516,727.50 = 516,727.50 : x
2. Step 2: Convert to fraction form
   366,936/516,727.50 = 516,727.50/x
3. Step 3: Cross multiply
   366,936x = 516,727.50 × 516,727.50
4. Step 4: Simplify right side
   366,936x = 267,007,309,256.25
5. Step 5: Solve for x
   x = 267,007,309,256.25/366,936
6. Step 6: Final answer
   x = 727,667.25