Finding the Third Proportional to 46,809 and 102,162

Step by Step Solution

1. Step 1: Write the proportion equation
   46,809 : 102,162 = 102,162 : x
2. Step 2: Convert to fraction form
   46,809/102,162 = 102,162/x
3. Step 3: Cross multiply
   46,809x = 102,162 × 102,162
4. Step 4: Simplify right side
   46,809x = 10,437,074,244
5. Step 5: Solve for x
   x = 10,437,074,244/46,809
6. Step 6: Final answer
   x = 222,971.53