Finding the Third Proportional to 684,128 and 1,583,582

Step by Step Solution

1. Step 1: Write the proportion equation
   684,128 : 1,583,582 = 1,583,582 : x
2. Step 2: Convert to fraction form
   684,128/1,583,582 = 1,583,582/x
3. Step 3: Cross multiply
   684,128x = 1,583,582 × 1,583,582
4. Step 4: Simplify right side
   684,128x = 2,507,731,950,724
5. Step 5: Solve for x
   x = 2,507,731,950,724/684,128
6. Step 6: Final answer
   x = 3,665,588.82