Finding the Third Proportional to 46,746 and 100,049

Step by Step Solution

1. Step 1: Write the proportion equation
   46,746 : 100,049 = 100,049 : x
2. Step 2: Convert to fraction form
   46,746/100,049 = 100,049/x
3. Step 3: Cross multiply
   46,746x = 100,049 × 100,049
4. Step 4: Simplify right side
   46,746x = 10,009,802,401
5. Step 5: Solve for x
   x = 10,009,802,401/46,746
6. Step 6: Final answer
   x = 214,131.74