Finding the Third Proportional to 374,164 and 820,764

Step by Step Solution

1. Step 1: Write the proportion equation
   374,164 : 820,764 = 820,764 : x
2. Step 2: Convert to fraction form
   374,164/820,764 = 820,764/x
3. Step 3: Cross multiply
   374,164x = 820,764 × 820,764
4. Step 4: Simplify right side
   374,164x = 673,653,543,696
5. Step 5: Solve for x
   x = 673,653,543,696/374,164
6. Step 6: Final answer
   x = 1,800,423.19