Finding the Third Proportional to 377,091 and 820,638

Step by Step Solution

1. Step 1: Write the proportion equation
   377,091 : 820,638 = 820,638 : x
2. Step 2: Convert to fraction form
   377,091/820,638 = 820,638/x
3. Step 3: Cross multiply
   377,091x = 820,638 × 820,638
4. Step 4: Simplify right side
   377,091x = 673,446,727,044
5. Step 5: Solve for x
   x = 673,446,727,044/377,091
6. Step 6: Final answer
   x = 1,785,899.76