Finding the Third Proportional to 407,865 and 827,119.50

Step by Step Solution

1. Step 1: Write the proportion equation
   407,865 : 827,119.50 = 827,119.50 : x
2. Step 2: Convert to fraction form
   407,865/827,119.50 = 827,119.50/x
3. Step 3: Cross multiply
   407,865x = 827,119.50 × 827,119.50
4. Step 4: Simplify right side
   407,865x = 684,126,667,280.25
5. Step 5: Solve for x
   x = 684,126,667,280.25/407,865
6. Step 6: Final answer
   x = 1,677,336.05