Finding the Third Proportional to 412,991 and 581,590.50

Step by Step Solution

1. Step 1: Write the proportion equation
   412,991 : 581,590.50 = 581,590.50 : x
2. Step 2: Convert to fraction form
   412,991/581,590.50 = 581,590.50/x
3. Step 3: Cross multiply
   412,991x = 581,590.50 × 581,590.50
4. Step 4: Simplify right side
   412,991x = 338,247,509,690.25
5. Step 5: Solve for x
   x = 338,247,509,690.25/412,991
6. Step 6: Final answer
   x = 819,019.08