Finding the Third Proportional to 46,878 and 70,243

Step by Step Solution

1. Step 1: Write the proportion equation
   46,878 : 70,243 = 70,243 : x
2. Step 2: Convert to fraction form
   46,878/70,243 = 70,243/x
3. Step 3: Cross multiply
   46,878x = 70,243 × 70,243
4. Step 4: Simplify right side
   46,878x = 4,934,079,049
5. Step 5: Solve for x
   x = 4,934,079,049/46,878
6. Step 6: Final answer
   x = 105,253.62