Finding the Third Proportional to 105,588 and 212,904

Step by Step Solution

1. Step 1: Write the proportion equation
   105,588 : 212,904 = 212,904 : x
2. Step 2: Convert to fraction form
   105,588/212,904 = 212,904/x
3. Step 3: Cross multiply
   105,588x = 212,904 × 212,904
4. Step 4: Simplify right side
   105,588x = 45,328,113,216
5. Step 5: Solve for x
   x = 45,328,113,216/105,588
6. Step 6: Final answer
   x = 429,292.28