Finding the Third Proportional to 309,096 and 417,960

Step by Step Solution

1. Step 1: Write the proportion equation
   309,096 : 417,960 = 417,960 : x
2. Step 2: Convert to fraction form
   309,096/417,960 = 417,960/x
3. Step 3: Cross multiply
   309,096x = 417,960 × 417,960
4. Step 4: Simplify right side
   309,096x = 174,690,561,600
5. Step 5: Solve for x
   x = 174,690,561,600/309,096
6. Step 6: Final answer
   x = 565,166.04