Finding the Third Proportional to 820,624 and 1,706,478

Step by Step Solution

1. Step 1: Write the proportion equation
   820,624 : 1,706,478 = 1,706,478 : x
2. Step 2: Convert to fraction form
   820,624/1,706,478 = 1,706,478/x
3. Step 3: Cross multiply
   820,624x = 1,706,478 × 1,706,478
4. Step 4: Simplify right side
   820,624x = 2,912,067,164,484
5. Step 5: Solve for x
   x = 2,912,067,164,484/820,624
6. Step 6: Final answer
   x = 3,548,601.02