Finding the Third Proportional to 412,807 and 581,328.50

Step by Step Solution

1. Step 1: Write the proportion equation
   412,807 : 581,328.50 = 581,328.50 : x
2. Step 2: Convert to fraction form
   412,807/581,328.50 = 581,328.50/x
3. Step 3: Cross multiply
   412,807x = 581,328.50 × 581,328.50
4. Step 4: Simplify right side
   412,807x = 337,942,824,912.25
5. Step 5: Solve for x
   x = 337,942,824,912.25/412,807
6. Step 6: Final answer
   x = 818,646.06