Finding the Third Proportional to 49,538 and 103,972

Step by Step Solution

1. Step 1: Write the proportion equation
   49,538 : 103,972 = 103,972 : x
2. Step 2: Convert to fraction form
   49,538/103,972 = 103,972/x
3. Step 3: Cross multiply
   49,538x = 103,972 × 103,972
4. Step 4: Simplify right side
   49,538x = 10,810,176,784
5. Step 5: Solve for x
   x = 10,810,176,784/49,538
6. Step 6: Final answer
   x = 218,219.89