Finding the Third Proportional to 46,878 and 101,238

Step by Step Solution

1. Step 1: Write the proportion equation
   46,878 : 101,238 = 101,238 : x
2. Step 2: Convert to fraction form
   46,878/101,238 = 101,238/x
3. Step 3: Cross multiply
   46,878x = 101,238 × 101,238
4. Step 4: Simplify right side
   46,878x = 10,249,132,644
5. Step 5: Solve for x
   x = 10,249,132,644/46,878
6. Step 6: Final answer
   x = 218,634.17