Finding the Third Proportional to 387,656 and 822,280

Step by Step Solution

1. Step 1: Write the proportion equation
   387,656 : 822,280 = 822,280 : x
2. Step 2: Convert to fraction form
   387,656/822,280 = 822,280/x
3. Step 3: Cross multiply
   387,656x = 822,280 × 822,280
4. Step 4: Simplify right side
   387,656x = 676,144,398,400
5. Step 5: Solve for x
   x = 676,144,398,400/387,656
6. Step 6: Final answer
   x = 1,744,186.59