Finding the Third Proportional to 820,588 and 1,706,408

Step by Step Solution

1. Step 1: Write the proportion equation
   820,588 : 1,706,408 = 1,706,408 : x
2. Step 2: Convert to fraction form
   820,588/1,706,408 = 1,706,408/x
3. Step 3: Cross multiply
   820,588x = 1,706,408 × 1,706,408
4. Step 4: Simplify right side
   820,588x = 2,911,828,262,464
5. Step 5: Solve for x
   x = 2,911,828,262,464/820,588
6. Step 6: Final answer
   x = 3,548,465.57