Finding the Third Proportional to 825,478 and 1,806,492

Step by Step Solution

1. Step 1: Write the proportion equation
   825,478 : 1,806,492 = 1,806,492 : x
2. Step 2: Convert to fraction form
   825,478/1,806,492 = 1,806,492/x
3. Step 3: Cross multiply
   825,478x = 1,806,492 × 1,806,492
4. Step 4: Simplify right side
   825,478x = 3,263,413,346,064
5. Step 5: Solve for x
   x = 3,263,413,346,064/825,478
6. Step 6: Final answer
   x = 3,953,361.99