Finding the Third Proportional to 105,736.50 and 221,853

Step by Step Solution

1. Step 1: Write the proportion equation
   105,736.50 : 221,853 = 221,853 : x
2. Step 2: Convert to fraction form
   105,736.50/221,853 = 221,853/x
3. Step 3: Cross multiply
   105,736.50x = 221,853 × 221,853
4. Step 4: Simplify right side
   105,736.50x = 49,218,753,609
5. Step 5: Solve for x
   x = 49,218,753,609/105,736.50
6. Step 6: Final answer
   x = 465,484.99