Finding the Third Proportional to 820,584 and 1,706,400

Step by Step Solution

1. Step 1: Write the proportion equation
   820,584 : 1,706,400 = 1,706,400 : x
2. Step 2: Convert to fraction form
   820,584/1,706,400 = 1,706,400/x
3. Step 3: Cross multiply
   820,584x = 1,706,400 × 1,706,400
4. Step 4: Simplify right side
   820,584x = 2,911,800,960,000
5. Step 5: Solve for x
   x = 2,911,800,960,000/820,584
6. Step 6: Final answer
   x = 3,548,449.59