Finding the Third Proportional to 412,810.50 and 581,328

Step by Step Solution

1. Step 1: Write the proportion equation
   412,810.50 : 581,328 = 581,328 : x
2. Step 2: Convert to fraction form
   412,810.50/581,328 = 581,328/x
3. Step 3: Cross multiply
   412,810.50x = 581,328 × 581,328
4. Step 4: Simplify right side
   412,810.50x = 337,942,243,584
5. Step 5: Solve for x
   x = 337,942,243,584/412,810.50
6. Step 6: Final answer
   x = 818,637.71