Finding the Third Proportional to 387,594 and 822,096

Step by Step Solution

1. Step 1: Write the proportion equation
   387,594 : 822,096 = 822,096 : x
2. Step 2: Convert to fraction form
   387,594/822,096 = 822,096/x
3. Step 3: Cross multiply
   387,594x = 822,096 × 822,096
4. Step 4: Simplify right side
   387,594x = 675,841,833,216
5. Step 5: Solve for x
   x = 675,841,833,216/387,594
6. Step 6: Final answer
   x = 1,743,684.97