Finding the Third Proportional to 386,883 and 820,746

Step by Step Solution

1. Step 1: Write the proportion equation
   386,883 : 820,746 = 820,746 : x
2. Step 2: Convert to fraction form
   386,883/820,746 = 820,746/x
3. Step 3: Cross multiply
   386,883x = 820,746 × 820,746
4. Step 4: Simplify right side
   386,883x = 673,623,996,516
5. Step 5: Solve for x
   x = 673,623,996,516/386,883
6. Step 6: Final answer
   x = 1,741,156.88