Finding the Third Proportional to 105,566 and 215,426

Step by Step Solution

1. Step 1: Write the proportion equation
   105,566 : 215,426 = 215,426 : x
2. Step 2: Convert to fraction form
   105,566/215,426 = 215,426/x
3. Step 3: Cross multiply
   105,566x = 215,426 × 215,426
4. Step 4: Simplify right side
   105,566x = 46,408,361,476
5. Step 5: Solve for x
   x = 46,408,361,476/105,566
6. Step 6: Final answer
   x = 439,614.66