Finding the Third Proportional to 51,209 and 105,970

Step by Step Solution

1. Step 1: Write the proportion equation
   51,209 : 105,970 = 105,970 : x
2. Step 2: Convert to fraction form
   51,209/105,970 = 105,970/x
3. Step 3: Cross multiply
   51,209x = 105,970 × 105,970
4. Step 4: Simplify right side
   51,209x = 11,229,640,900
5. Step 5: Solve for x
   x = 11,229,640,900/51,209
6. Step 6: Final answer
   x = 219,290.38