Finding the Third Proportional to 684,738 and 1,477,746

Step by Step Solution

1. Step 1: Write the proportion equation
   684,738 : 1,477,746 = 1,477,746 : x
2. Step 2: Convert to fraction form
   684,738/1,477,746 = 1,477,746/x
3. Step 3: Cross multiply
   684,738x = 1,477,746 × 1,477,746
4. Step 4: Simplify right side
   684,738x = 2,183,733,240,516
5. Step 5: Solve for x
   x = 2,183,733,240,516/684,738
6. Step 6: Final answer
   x = 3,189,151.53