Finding the Third Proportional to 535,638 and 830,065

Step by Step Solution

1. Step 1: Write the proportion equation
   535,638 : 830,065 = 830,065 : x
2. Step 2: Convert to fraction form
   535,638/830,065 = 830,065/x
3. Step 3: Cross multiply
   535,638x = 830,065 × 830,065
4. Step 4: Simplify right side
   535,638x = 689,007,904,225
5. Step 5: Solve for x
   x = 689,007,904,225/535,638
6. Step 6: Final answer
   x = 1,286,331.26