Finding the Third Proportional to 412,866.50 and 581,391

Step by Step Solution

1. Step 1: Write the proportion equation
   412,866.50 : 581,391 = 581,391 : x
2. Step 2: Convert to fraction form
   412,866.50/581,391 = 581,391/x
3. Step 3: Cross multiply
   412,866.50x = 581,391 × 581,391
4. Step 4: Simplify right side
   412,866.50x = 338,015,494,881
5. Step 5: Solve for x
   x = 338,015,494,881/412,866.50
6. Step 6: Final answer
   x = 818,704.10