Finding the Third Proportional to 105,184.50 and 229,644

Step by Step Solution

1. Step 1: Write the proportion equation
   105,184.50 : 229,644 = 229,644 : x
2. Step 2: Convert to fraction form
   105,184.50/229,644 = 229,644/x
3. Step 3: Cross multiply
   105,184.50x = 229,644 × 229,644
4. Step 4: Simplify right side
   105,184.50x = 52,736,366,736
5. Step 5: Solve for x
   x = 52,736,366,736/105,184.50
6. Step 6: Final answer
   x = 501,370.13