Finding the Third Proportional to 105,596 and 229,781.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,596 : 229,781.50 = 229,781.50 : x
2. Step 2: Convert to fraction form
   105,596/229,781.50 = 229,781.50/x
3. Step 3: Cross multiply
   105,596x = 229,781.50 × 229,781.50
4. Step 4: Simplify right side
   105,596x = 52,799,537,742.25
5. Step 5: Solve for x
   x = 52,799,537,742.25/105,596
6. Step 6: Final answer
   x = 500,014.56