Finding the Third Proportional to 47,162 and 102,508

Step by Step Solution

1. Step 1: Write the proportion equation
   47,162 : 102,508 = 102,508 : x
2. Step 2: Convert to fraction form
   47,162/102,508 = 102,508/x
3. Step 3: Cross multiply
   47,162x = 102,508 × 102,508
4. Step 4: Simplify right side
   47,162x = 10,507,890,064
5. Step 5: Solve for x
   x = 10,507,890,064/47,162
6. Step 6: Final answer
   x = 222,804.17