Finding the Third Proportional to 147,711 and 322,494

Step by Step Solution

1. Step 1: Write the proportion equation
   147,711 : 322,494 = 322,494 : x
2. Step 2: Convert to fraction form
   147,711/322,494 = 322,494/x
3. Step 3: Cross multiply
   147,711x = 322,494 × 322,494
4. Step 4: Simplify right side
   147,711x = 104,002,380,036
5. Step 5: Solve for x
   x = 104,002,380,036/147,711
6. Step 6: Final answer
   x = 704,093.67