Finding the Third Proportional to 387,766 and 820,242

Step by Step Solution

1. Step 1: Write the proportion equation
   387,766 : 820,242 = 820,242 : x
2. Step 2: Convert to fraction form
   387,766/820,242 = 820,242/x
3. Step 3: Cross multiply
   387,766x = 820,242 × 820,242
4. Step 4: Simplify right side
   387,766x = 672,796,938,564
5. Step 5: Solve for x
   x = 672,796,938,564/387,766
6. Step 6: Final answer
   x = 1,735,059.13