Finding the Third Proportional to 53,661 and 105,970

Step by Step Solution

1. Step 1: Write the proportion equation
   53,661 : 105,970 = 105,970 : x
2. Step 2: Convert to fraction form
   53,661/105,970 = 105,970/x
3. Step 3: Cross multiply
   53,661x = 105,970 × 105,970
4. Step 4: Simplify right side
   53,661x = 11,229,640,900
5. Step 5: Solve for x
   x = 11,229,640,900/53,661
6. Step 6: Final answer
   x = 209,270.06