Finding the Third Proportional to 105,589 and 212,906

Step by Step Solution

1. Step 1: Write the proportion equation
   105,589 : 212,906 = 212,906 : x
2. Step 2: Convert to fraction form
   105,589/212,906 = 212,906/x
3. Step 3: Cross multiply
   105,589x = 212,906 × 212,906
4. Step 4: Simplify right side
   105,589x = 45,328,964,836
5. Step 5: Solve for x
   x = 45,328,964,836/105,589
6. Step 6: Final answer
   x = 429,296.28