Finding the Third Proportional to 105,492 and 229,704

Step by Step Solution

1. Step 1: Write the proportion equation
   105,492 : 229,704 = 229,704 : x
2. Step 2: Convert to fraction form
   105,492/229,704 = 229,704/x
3. Step 3: Cross multiply
   105,492x = 229,704 × 229,704
4. Step 4: Simplify right side
   105,492x = 52,763,927,616
5. Step 5: Solve for x
   x = 52,763,927,616/105,492
6. Step 6: Final answer
   x = 500,169.94