Finding the Third Proportional to 377,040 and 820,416

Step by Step Solution

1. Step 1: Write the proportion equation
   377,040 : 820,416 = 820,416 : x
2. Step 2: Convert to fraction form
   377,040/820,416 = 820,416/x
3. Step 3: Cross multiply
   377,040x = 820,416 × 820,416
4. Step 4: Simplify right side
   377,040x = 673,082,413,056
5. Step 5: Solve for x
   x = 673,082,413,056/377,040
6. Step 6: Final answer
   x = 1,785,175.08