Finding the Third Proportional to 820,590 and 1,706,412

Step by Step Solution

1. Step 1: Write the proportion equation
   820,590 : 1,706,412 = 1,706,412 : x
2. Step 2: Convert to fraction form
   820,590/1,706,412 = 1,706,412/x
3. Step 3: Cross multiply
   820,590x = 1,706,412 × 1,706,412
4. Step 4: Simplify right side
   820,590x = 2,911,841,913,744
5. Step 5: Solve for x
   x = 2,911,841,913,744/820,590
6. Step 6: Final answer
   x = 3,548,473.55