Finding the Third Proportional to 49,909 and 102,145

Step by Step Solution

1. Step 1: Write the proportion equation
   49,909 : 102,145 = 102,145 : x
2. Step 2: Convert to fraction form
   49,909/102,145 = 102,145/x
3. Step 3: Cross multiply
   49,909x = 102,145 × 102,145
4. Step 4: Simplify right side
   49,909x = 10,433,601,025
5. Step 5: Solve for x
   x = 10,433,601,025/49,909
6. Step 6: Final answer
   x = 209,052.50