Finding the Third Proportional to 215,816 and 322,426

Step by Step Solution

1. Step 1: Write the proportion equation
   215,816 : 322,426 = 322,426 : x
2. Step 2: Convert to fraction form
   215,816/322,426 = 322,426/x
3. Step 3: Cross multiply
   215,816x = 322,426 × 322,426
4. Step 4: Simplify right side
   215,816x = 103,958,525,476
5. Step 5: Solve for x
   x = 103,958,525,476/215,816
6. Step 6: Final answer
   x = 481,699.81