Finding the Third Proportional to 105,591 and 212,910

Step by Step Solution

1. Step 1: Write the proportion equation
   105,591 : 212,910 = 212,910 : x
2. Step 2: Convert to fraction form
   105,591/212,910 = 212,910/x
3. Step 3: Cross multiply
   105,591x = 212,910 × 212,910
4. Step 4: Simplify right side
   105,591x = 45,330,668,100
5. Step 5: Solve for x
   x = 45,330,668,100/105,591
6. Step 6: Final answer
   x = 429,304.28