Finding the Third Proportional to 105,770 and 229,972

Step by Step Solution

1. Step 1: Write the proportion equation
   105,770 : 229,972 = 229,972 : x
2. Step 2: Convert to fraction form
   105,770/229,972 = 229,972/x
3. Step 3: Cross multiply
   105,770x = 229,972 × 229,972
4. Step 4: Simplify right side
   105,770x = 52,887,120,784
5. Step 5: Solve for x
   x = 52,887,120,784/105,770
6. Step 6: Final answer
   x = 500,020.05