Finding the Third Proportional to 49,564 and 103,974

Step by Step Solution

1. Step 1: Write the proportion equation
   49,564 : 103,974 = 103,974 : x
2. Step 2: Convert to fraction form
   49,564/103,974 = 103,974/x
3. Step 3: Cross multiply
   49,564x = 103,974 × 103,974
4. Step 4: Simplify right side
   49,564x = 10,810,592,676
5. Step 5: Solve for x
   x = 10,810,592,676/49,564
6. Step 6: Final answer
   x = 218,113.81