Finding the Third Proportional to 387,584 and 822,076

Step by Step Solution

1. Step 1: Write the proportion equation
   387,584 : 822,076 = 822,076 : x
2. Step 2: Convert to fraction form
   387,584/822,076 = 822,076/x
3. Step 3: Cross multiply
   387,584x = 822,076 × 822,076
4. Step 4: Simplify right side
   387,584x = 675,808,949,776
5. Step 5: Solve for x
   x = 675,808,949,776/387,584
6. Step 6: Final answer
   x = 1,743,645.12