Finding the Third Proportional to 392,415 and 820,362

Step by Step Solution

1. Step 1: Write the proportion equation
   392,415 : 820,362 = 820,362 : x
2. Step 2: Convert to fraction form
   392,415/820,362 = 820,362/x
3. Step 3: Cross multiply
   392,415x = 820,362 × 820,362
4. Step 4: Simplify right side
   392,415x = 672,993,811,044
5. Step 5: Solve for x
   x = 672,993,811,044/392,415
6. Step 6: Final answer
   x = 1,715,005.32