Finding the Third Proportional to 826,800 and 1,688,688

Step by Step Solution

1. Step 1: Write the proportion equation
   826,800 : 1,688,688 = 1,688,688 : x
2. Step 2: Convert to fraction form
   826,800/1,688,688 = 1,688,688/x
3. Step 3: Cross multiply
   826,800x = 1,688,688 × 1,688,688
4. Step 4: Simplify right side
   826,800x = 2,851,667,161,344
5. Step 5: Solve for x
   x = 2,851,667,161,344/826,800
6. Step 6: Final answer
   x = 3,449,041.08