Finding the Third Proportional to 49,908 and 102,145

Step by Step Solution

1. Step 1: Write the proportion equation
   49,908 : 102,145 = 102,145 : x
2. Step 2: Convert to fraction form
   49,908/102,145 = 102,145/x
3. Step 3: Cross multiply
   49,908x = 102,145 × 102,145
4. Step 4: Simplify right side
   49,908x = 10,433,601,025
5. Step 5: Solve for x
   x = 10,433,601,025/49,908
6. Step 6: Final answer
   x = 209,056.68