Finding the Third Proportional to 826,650 and 1,688,238

Step by Step Solution

1. Step 1: Write the proportion equation
   826,650 : 1,688,238 = 1,688,238 : x
2. Step 2: Convert to fraction form
   826,650/1,688,238 = 1,688,238/x
3. Step 3: Cross multiply
   826,650x = 1,688,238 × 1,688,238
4. Step 4: Simplify right side
   826,650x = 2,850,147,544,644
5. Step 5: Solve for x
   x = 2,850,147,544,644/826,650
6. Step 6: Final answer
   x = 3,447,828.64