Finding the Third Proportional to 46,819 and 102,662

Step by Step Solution

1. Step 1: Write the proportion equation
   46,819 : 102,662 = 102,662 : x
2. Step 2: Convert to fraction form
   46,819/102,662 = 102,662/x
3. Step 3: Cross multiply
   46,819x = 102,662 × 102,662
4. Step 4: Simplify right side
   46,819x = 10,539,486,244
5. Step 5: Solve for x
   x = 10,539,486,244/46,819
6. Step 6: Final answer
   x = 225,111.31