Finding the Third Proportional to 46,256 and 100,834

Step by Step Solution

1. Step 1: Write the proportion equation
   46,256 : 100,834 = 100,834 : x
2. Step 2: Convert to fraction form
   46,256/100,834 = 100,834/x
3. Step 3: Cross multiply
   46,256x = 100,834 × 100,834
4. Step 4: Simplify right side
   46,256x = 10,167,495,556
5. Step 5: Solve for x
   x = 10,167,495,556/46,256
6. Step 6: Final answer
   x = 219,809.23