Finding the Third Proportional to 105,159 and 229,348.50

Step by Step Solution

1. Step 1: Write the proportion equation
   105,159 : 229,348.50 = 229,348.50 : x
2. Step 2: Convert to fraction form
   105,159/229,348.50 = 229,348.50/x
3. Step 3: Cross multiply
   105,159x = 229,348.50 × 229,348.50
4. Step 4: Simplify right side
   105,159x = 52,600,734,452.25
5. Step 5: Solve for x
   x = 52,600,734,452.25/105,159
6. Step 6: Final answer
   x = 500,201.93