Finding the Third Proportional to 49,714 and 102,345

Step by Step Solution

1. Step 1: Write the proportion equation
   49,714 : 102,345 = 102,345 : x
2. Step 2: Convert to fraction form
   49,714/102,345 = 102,345/x
3. Step 3: Cross multiply
   49,714x = 102,345 × 102,345
4. Step 4: Simplify right side
   49,714x = 10,474,499,025
5. Step 5: Solve for x
   x = 10,474,499,025/49,714
6. Step 6: Final answer
   x = 210,695.16