Finding the Third Proportional to 379,972 and 820,856

Step by Step Solution

1. Step 1: Write the proportion equation
   379,972 : 820,856 = 820,856 : x
2. Step 2: Convert to fraction form
   379,972/820,856 = 820,856/x
3. Step 3: Cross multiply
   379,972x = 820,856 × 820,856
4. Step 4: Simplify right side
   379,972x = 673,804,572,736
5. Step 5: Solve for x
   x = 673,804,572,736/379,972
6. Step 6: Final answer
   x = 1,773,300.59