Finding the Third Proportional to 156,919 and 322,105

Step by Step Solution

1. Step 1: Write the proportion equation
   156,919 : 322,105 = 322,105 : x
2. Step 2: Convert to fraction form
   156,919/322,105 = 322,105/x
3. Step 3: Cross multiply
   156,919x = 322,105 × 322,105
4. Step 4: Simplify right side
   156,919x = 103,751,631,025
5. Step 5: Solve for x
   x = 103,751,631,025/156,919
6. Step 6: Final answer
   x = 661,179.53