Finding the Third Proportional to 105,684 and 230,970

Step by Step Solution

1. Step 1: Write the proportion equation
   105,684 : 230,970 = 230,970 : x
2. Step 2: Convert to fraction form
   105,684/230,970 = 230,970/x
3. Step 3: Cross multiply
   105,684x = 230,970 × 230,970
4. Step 4: Simplify right side
   105,684x = 53,347,140,900
5. Step 5: Solve for x
   x = 53,347,140,900/105,684
6. Step 6: Final answer
   x = 504,779.73