Finding the Third Proportional to 105,201 and 229,680

Step by Step Solution

1. Step 1: Write the proportion equation
   105,201 : 229,680 = 229,680 : x
2. Step 2: Convert to fraction form
   105,201/229,680 = 229,680/x
3. Step 3: Cross multiply
   105,201x = 229,680 × 229,680
4. Step 4: Simplify right side
   105,201x = 52,752,902,400
5. Step 5: Solve for x
   x = 52,752,902,400/105,201
6. Step 6: Final answer
   x = 501,448.68