Finding the Third Proportional to 820,586 and 1,706,404

Step by Step Solution

1. Step 1: Write the proportion equation
   820,586 : 1,706,404 = 1,706,404 : x
2. Step 2: Convert to fraction form
   820,586/1,706,404 = 1,706,404/x
3. Step 3: Cross multiply
   820,586x = 1,706,404 × 1,706,404
4. Step 4: Simplify right side
   820,586x = 2,911,814,611,216
5. Step 5: Solve for x
   x = 2,911,814,611,216/820,586
6. Step 6: Final answer
   x = 3,548,457.58