Finding the Third Proportional to 49,537 and 103,970

Step by Step Solution

1. Step 1: Write the proportion equation
   49,537 : 103,970 = 103,970 : x
2. Step 2: Convert to fraction form
   49,537/103,970 = 103,970/x
3. Step 3: Cross multiply
   49,537x = 103,970 × 103,970
4. Step 4: Simplify right side
   49,537x = 10,809,760,900
5. Step 5: Solve for x
   x = 10,809,760,900/49,537
6. Step 6: Final answer
   x = 218,215.90