Finding the Third Proportional to 375,059 and 820,507

Step by Step Solution

1. Step 1: Write the proportion equation
   375,059 : 820,507 = 820,507 : x
2. Step 2: Convert to fraction form
   375,059/820,507 = 820,507/x
3. Step 3: Cross multiply
   375,059x = 820,507 × 820,507
4. Step 4: Simplify right side
   375,059x = 673,231,737,049
5. Step 5: Solve for x
   x = 673,231,737,049/375,059
6. Step 6: Final answer
   x = 1,795,002.22