Finding the Third Proportional to 46,314 and 99,834

Step by Step Solution

1. Step 1: Write the proportion equation
   46,314 : 99,834 = 99,834 : x
2. Step 2: Convert to fraction form
   46,314/99,834 = 99,834/x
3. Step 3: Cross multiply
   46,314x = 99,834 × 99,834
4. Step 4: Simplify right side
   46,314x = 9,966,827,556
5. Step 5: Solve for x
   x = 9,966,827,556/46,314
6. Step 6: Final answer
   x = 215,201.18