Finding the Third Proportional to 46,814 and 101,404

Step by Step Solution

1. Step 1: Write the proportion equation
   46,814 : 101,404 = 101,404 : x
2. Step 2: Convert to fraction form
   46,814/101,404 = 101,404/x
3. Step 3: Cross multiply
   46,814x = 101,404 × 101,404
4. Step 4: Simplify right side
   46,814x = 10,282,771,216
5. Step 5: Solve for x
   x = 10,282,771,216/46,814
6. Step 6: Final answer
   x = 219,651.63