Finding the Third Proportional to 826,214 and 1,751,680

Step by Step Solution

1. Step 1: Write the proportion equation
   826,214 : 1,751,680 = 1,751,680 : x
2. Step 2: Convert to fraction form
   826,214/1,751,680 = 1,751,680/x
3. Step 3: Cross multiply
   826,214x = 1,751,680 × 1,751,680
4. Step 4: Simplify right side
   826,214x = 3,068,382,822,400
5. Step 5: Solve for x
   x = 3,068,382,822,400/826,214
6. Step 6: Final answer
   x = 3,713,787.01