Finding the Third Proportional to 46,854 and 100,404

Step by Step Solution

1. Step 1: Write the proportion equation
   46,854 : 100,404 = 100,404 : x
2. Step 2: Convert to fraction form
   46,854/100,404 = 100,404/x
3. Step 3: Cross multiply
   46,854x = 100,404 × 100,404
4. Step 4: Simplify right side
   46,854x = 10,080,963,216
5. Step 5: Solve for x
   x = 10,080,963,216/46,854
6. Step 6: Final answer
   x = 215,156.94