Finding the Third Proportional to 385,538 and 835,426

Step by Step Solution

1. Step 1: Write the proportion equation
   385,538 : 835,426 = 835,426 : x
2. Step 2: Convert to fraction form
   385,538/835,426 = 835,426/x
3. Step 3: Cross multiply
   385,538x = 835,426 × 835,426
4. Step 4: Simplify right side
   385,538x = 697,936,601,476
5. Step 5: Solve for x
   x = 697,936,601,476/385,538
6. Step 6: Final answer
   x = 1,810,292.63