Finding the Third Proportional to 49,928 and 103,384

Step by Step Solution

1. Step 1: Write the proportion equation
   49,928 : 103,384 = 103,384 : x
2. Step 2: Convert to fraction form
   49,928/103,384 = 103,384/x
3. Step 3: Cross multiply
   49,928x = 103,384 × 103,384
4. Step 4: Simplify right side
   49,928x = 10,688,251,456
5. Step 5: Solve for x
   x = 10,688,251,456/49,928
6. Step 6: Final answer
   x = 214,073.29