Finding the Third Proportional to 684,134 and 1,583,596

Step by Step Solution

1. Step 1: Write the proportion equation
   684,134 : 1,583,596 = 1,583,596 : x
2. Step 2: Convert to fraction form
   684,134/1,583,596 = 1,583,596/x
3. Step 3: Cross multiply
   684,134x = 1,583,596 × 1,583,596
4. Step 4: Simplify right side
   684,134x = 2,507,776,291,216
5. Step 5: Solve for x
   x = 2,507,776,291,216/684,134
6. Step 6: Final answer
   x = 3,665,621.49